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Finding the Fourth Proportional to 2,472.41, 3,708.62 and 623.54

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Solution

The fourth proportional to 2,472.41, 3,708.62 and 623.54 is: 935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.41 : 3,708.62 = 623.54 : x
  2. Step 2: Convert to fraction form
    2,472.41/3,708.62 = 623.54/x
  3. Step 3: Cross multiply
    2,472.41x = 3,708.62 × 623.54
  4. Step 4: Simplify right side
    2,472.41x = 2,312,451.25
  5. Step 5: Solve for x
    x = 2,312,451.25/2,472.41
  6. Step 6: Final answer
    x = 935.30

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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.