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Finding the Fourth Proportional to 1,355.72, 1,869.10 and 935.32

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Solution

The fourth proportional to 1,355.72, 1,869.10 and 935.32 is: 1,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.72 : 1,869.10 = 935.32 : x
  2. Step 2: Convert to fraction form
    1,355.72/1,869.10 = 935.32/x
  3. Step 3: Cross multiply
    1,355.72x = 1,869.10 × 935.32
  4. Step 4: Simplify right side
    1,355.72x = 1,748,206.61
  5. Step 5: Solve for x
    x = 1,748,206.61/1,355.72
  6. Step 6: Final answer
    x = 1,289.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.