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Finding the Fourth Proportional to 2,781.81, 4,174.70 and 2,053.35

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Solution

The fourth proportional to 2,781.81, 4,174.70 and 2,053.35 is: 3,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.81 : 4,174.70 = 2,053.35 : x
  2. Step 2: Convert to fraction form
    2,781.81/4,174.70 = 2,053.35/x
  3. Step 3: Cross multiply
    2,781.81x = 4,174.70 × 2,053.35
  4. Step 4: Simplify right side
    2,781.81x = 8,572,109.98
  5. Step 5: Solve for x
    x = 8,572,109.98/2,781.81
  6. Step 6: Final answer
    x = 3,081.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.