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Finding the Fourth Proportional to 2,472.34, 3,411.70 and 1,410.13

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Solution

The fourth proportional to 2,472.34, 3,411.70 and 1,410.13 is: 1,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.34 : 3,411.70 = 1,410.13 : x
  2. Step 2: Convert to fraction form
    2,472.34/3,411.70 = 1,410.13/x
  3. Step 3: Cross multiply
    2,472.34x = 3,411.70 × 1,410.13
  4. Step 4: Simplify right side
    2,472.34x = 4,810,933.47
  5. Step 5: Solve for x
    x = 4,810,933.47/2,472.34
  6. Step 6: Final answer
    x = 1,945.91

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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.