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Finding the Fourth Proportional to 3,142.77, 4,337.04 and 1,726.58

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Solution

The fourth proportional to 3,142.77, 4,337.04 and 1,726.58 is: 2,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.77 : 4,337.04 = 1,726.58 : x
  2. Step 2: Convert to fraction form
    3,142.77/4,337.04 = 1,726.58/x
  3. Step 3: Cross multiply
    3,142.77x = 4,337.04 × 1,726.58
  4. Step 4: Simplify right side
    3,142.77x = 7,488,263.84
  5. Step 5: Solve for x
    x = 7,488,263.84/3,142.77
  6. Step 6: Final answer
    x = 2,382.70

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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.