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Finding the Fourth Proportional to 1,586.44, 2,189.19 and 878.10

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Solution

The fourth proportional to 1,586.44, 2,189.19 and 878.10 is: 1,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.44 : 2,189.19 = 878.10 : x
  2. Step 2: Convert to fraction form
    1,586.44/2,189.19 = 878.10/x
  3. Step 3: Cross multiply
    1,586.44x = 2,189.19 × 878.10
  4. Step 4: Simplify right side
    1,586.44x = 1,922,327.74
  5. Step 5: Solve for x
    x = 1,922,327.74/1,586.44
  6. Step 6: Final answer
    x = 1,211.72

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.