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Finding the Fourth Proportional to 2,534.38, 3,497.27 and 1,415.27

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Solution

The fourth proportional to 2,534.38, 3,497.27 and 1,415.27 is: 1,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.38 : 3,497.27 = 1,415.27 : x
  2. Step 2: Convert to fraction form
    2,534.38/3,497.27 = 1,415.27/x
  3. Step 3: Cross multiply
    2,534.38x = 3,497.27 × 1,415.27
  4. Step 4: Simplify right side
    2,534.38x = 4,949,582.98
  5. Step 5: Solve for x
    x = 4,949,582.98/2,534.38
  6. Step 6: Final answer
    x = 1,952.98

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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.