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Finding the Fourth Proportional to 2,123.50, 3,183.08 and 891.58

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Solution

The fourth proportional to 2,123.50, 3,183.08 and 891.58 is: 1,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.50 : 3,183.08 = 891.58 : x
  2. Step 2: Convert to fraction form
    2,123.50/3,183.08 = 891.58/x
  3. Step 3: Cross multiply
    2,123.50x = 3,183.08 × 891.58
  4. Step 4: Simplify right side
    2,123.50x = 2,837,970.47
  5. Step 5: Solve for x
    x = 2,837,970.47/2,123.50
  6. Step 6: Final answer
    x = 1,336.46

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.