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Finding the Fourth Proportional to 1,586.37, 2,378.19 and 855.10

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Solution

The fourth proportional to 1,586.37, 2,378.19 and 855.10 is: 1,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.37 : 2,378.19 = 855.10 : x
  2. Step 2: Convert to fraction form
    1,586.37/2,378.19 = 855.10/x
  3. Step 3: Cross multiply
    1,586.37x = 2,378.19 × 855.10
  4. Step 4: Simplify right side
    1,586.37x = 2,033,590.27
  5. Step 5: Solve for x
    x = 2,033,590.27/1,586.37
  6. Step 6: Final answer
    x = 1,281.91

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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.