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Finding the Fourth Proportional to 2,472.42, 3,411.90 and 1,477.65

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Solution

The fourth proportional to 2,472.42, 3,411.90 and 1,477.65 is: 2,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.42 : 3,411.90 = 1,477.65 : x
  2. Step 2: Convert to fraction form
    2,472.42/3,411.90 = 1,477.65/x
  3. Step 3: Cross multiply
    2,472.42x = 3,411.90 × 1,477.65
  4. Step 4: Simplify right side
    2,472.42x = 5,041,594.04
  5. Step 5: Solve for x
    x = 5,041,594.04/2,472.42
  6. Step 6: Final answer
    x = 2,039.13

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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.