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Finding the Fourth Proportional to 2,472.66, 3,412.19 and 1,477.71

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Solution

The fourth proportional to 2,472.66, 3,412.19 and 1,477.71 is: 2,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.66 : 3,412.19 = 1,477.71 : x
  2. Step 2: Convert to fraction form
    2,472.66/3,412.19 = 1,477.71/x
  3. Step 3: Cross multiply
    2,472.66x = 3,412.19 × 1,477.71
  4. Step 4: Simplify right side
    2,472.66x = 5,042,219.90
  5. Step 5: Solve for x
    x = 5,042,219.90/2,472.66
  6. Step 6: Final answer
    x = 2,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.