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Finding the Fourth Proportional to 2,472.64, 3,411.68 and 1,424.72

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Solution

The fourth proportional to 2,472.64, 3,411.68 and 1,424.72 is: 1,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.64 : 3,411.68 = 1,424.72 : x
  2. Step 2: Convert to fraction form
    2,472.64/3,411.68 = 1,424.72/x
  3. Step 3: Cross multiply
    2,472.64x = 3,411.68 × 1,424.72
  4. Step 4: Simplify right side
    2,472.64x = 4,860,688.73
  5. Step 5: Solve for x
    x = 4,860,688.73/2,472.64
  6. Step 6: Final answer
    x = 1,965.79

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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.