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Finding the Fourth Proportional to 1,747.87, 2,412.05 and 1,001.81

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Solution

The fourth proportional to 1,747.87, 2,412.05 and 1,001.81 is: 1,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.87 : 2,412.05 = 1,001.81 : x
  2. Step 2: Convert to fraction form
    1,747.87/2,412.05 = 1,001.81/x
  3. Step 3: Cross multiply
    1,747.87x = 2,412.05 × 1,001.81
  4. Step 4: Simplify right side
    1,747.87x = 2,416,424.35
  5. Step 5: Solve for x
    x = 2,416,424.35/1,747.87
  6. Step 6: Final answer
    x = 1,382.50

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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.