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Finding the Fourth Proportional to 1,856.08, 2,785.54 and 687.19

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Solution

The fourth proportional to 1,856.08, 2,785.54 and 687.19 is: 1,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.08 : 2,785.54 = 687.19 : x
  2. Step 2: Convert to fraction form
    1,856.08/2,785.54 = 687.19/x
  3. Step 3: Cross multiply
    1,856.08x = 2,785.54 × 687.19
  4. Step 4: Simplify right side
    1,856.08x = 1,914,195.23
  5. Step 5: Solve for x
    x = 1,914,195.23/1,856.08
  6. Step 6: Final answer
    x = 1,031.31

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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.