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Finding the Fourth Proportional to 2,343.87, 3,505.14 and 1,751.31

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Solution

The fourth proportional to 2,343.87, 3,505.14 and 1,751.31 is: 2,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.87 : 3,505.14 = 1,751.31 : x
  2. Step 2: Convert to fraction form
    2,343.87/3,505.14 = 1,751.31/x
  3. Step 3: Cross multiply
    2,343.87x = 3,505.14 × 1,751.31
  4. Step 4: Simplify right side
    2,343.87x = 6,138,586.73
  5. Step 5: Solve for x
    x = 6,138,586.73/2,343.87
  6. Step 6: Final answer
    x = 2,619.00

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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.