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Finding the Fourth Proportional to 2,459.52, 3,393.76 and 1,411.40

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Solution

The fourth proportional to 2,459.52, 3,393.76 and 1,411.40 is: 1,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.52 : 3,393.76 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    2,459.52/3,393.76 = 1,411.40/x
  3. Step 3: Cross multiply
    2,459.52x = 3,393.76 × 1,411.40
  4. Step 4: Simplify right side
    2,459.52x = 4,789,952.86
  5. Step 5: Solve for x
    x = 4,789,952.86/2,459.52
  6. Step 6: Final answer
    x = 1,947.52

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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.