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Finding the Fourth Proportional to 1,856.16, 2,785.32 and 1,571.04

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Solution

The fourth proportional to 1,856.16, 2,785.32 and 1,571.04 is: 2,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.16 : 2,785.32 = 1,571.04 : x
  2. Step 2: Convert to fraction form
    1,856.16/2,785.32 = 1,571.04/x
  3. Step 3: Cross multiply
    1,856.16x = 2,785.32 × 1,571.04
  4. Step 4: Simplify right side
    1,856.16x = 4,375,849.13
  5. Step 5: Solve for x
    x = 4,375,849.13/1,856.16
  6. Step 6: Final answer
    x = 2,357.47

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