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Finding the Fourth Proportional to 2,092.61, 3,115.01 and 2,061.47

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Solution

The fourth proportional to 2,092.61, 3,115.01 and 2,061.47 is: 3,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.61 : 3,115.01 = 2,061.47 : x
  2. Step 2: Convert to fraction form
    2,092.61/3,115.01 = 2,061.47/x
  3. Step 3: Cross multiply
    2,092.61x = 3,115.01 × 2,061.47
  4. Step 4: Simplify right side
    2,092.61x = 6,421,512.61
  5. Step 5: Solve for x
    x = 6,421,512.61/2,092.61
  6. Step 6: Final answer
    x = 3,068.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.