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Finding the Fourth Proportional to 2,073.61, 2,861.10 and 1,514.38

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Solution

The fourth proportional to 2,073.61, 2,861.10 and 1,514.38 is: 2,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.61 : 2,861.10 = 1,514.38 : x
  2. Step 2: Convert to fraction form
    2,073.61/2,861.10 = 1,514.38/x
  3. Step 3: Cross multiply
    2,073.61x = 2,861.10 × 1,514.38
  4. Step 4: Simplify right side
    2,073.61x = 4,332,792.62
  5. Step 5: Solve for x
    x = 4,332,792.62/2,073.61
  6. Step 6: Final answer
    x = 2,089.49

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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.