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Finding the Fourth Proportional to 2,475.48, 3,712.06 and 935.40

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Solution

The fourth proportional to 2,475.48, 3,712.06 and 935.40 is: 1,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.48 : 3,712.06 = 935.40 : x
  2. Step 2: Convert to fraction form
    2,475.48/3,712.06 = 935.40/x
  3. Step 3: Cross multiply
    2,475.48x = 3,712.06 × 935.40
  4. Step 4: Simplify right side
    2,475.48x = 3,472,260.92
  5. Step 5: Solve for x
    x = 3,472,260.92/2,475.48
  6. Step 6: Final answer
    x = 1,402.66

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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.