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Finding the Fourth Proportional to 2,913.72, 4,359.75 and 1,744.39

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Solution

The fourth proportional to 2,913.72, 4,359.75 and 1,744.39 is: 2,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.72 : 4,359.75 = 1,744.39 : x
  2. Step 2: Convert to fraction form
    2,913.72/4,359.75 = 1,744.39/x
  3. Step 3: Cross multiply
    2,913.72x = 4,359.75 × 1,744.39
  4. Step 4: Simplify right side
    2,913.72x = 7,605,104.30
  5. Step 5: Solve for x
    x = 7,605,104.30/2,913.72
  6. Step 6: Final answer
    x = 2,610.10

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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.