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Finding the Fourth Proportional to 2,472.34, 3,410.25 and 1,726.02

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Solution

The fourth proportional to 2,472.34, 3,410.25 and 1,726.02 is: 2,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.34 : 3,410.25 = 1,726.02 : x
  2. Step 2: Convert to fraction form
    2,472.34/3,410.25 = 1,726.02/x
  3. Step 3: Cross multiply
    2,472.34x = 3,410.25 × 1,726.02
  4. Step 4: Simplify right side
    2,472.34x = 5,886,159.71
  5. Step 5: Solve for x
    x = 5,886,159.71/2,472.34
  6. Step 6: Final answer
    x = 2,380.81

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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.