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Finding the Fourth Proportional to 1,856.30, 2,785.57 and 701.98

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Solution

The fourth proportional to 1,856.30, 2,785.57 and 701.98 is: 1,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.30 : 2,785.57 = 701.98 : x
  2. Step 2: Convert to fraction form
    1,856.30/2,785.57 = 701.98/x
  3. Step 3: Cross multiply
    1,856.30x = 2,785.57 × 701.98
  4. Step 4: Simplify right side
    1,856.30x = 1,955,414.43
  5. Step 5: Solve for x
    x = 1,955,414.43/1,856.30
  6. Step 6: Final answer
    x = 1,053.39

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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.