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Finding the Fourth Proportional to 2,754.48, 3,802.72 and 1,747.52

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Solution

The fourth proportional to 2,754.48, 3,802.72 and 1,747.52 is: 2,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.48 : 3,802.72 = 1,747.52 : x
  2. Step 2: Convert to fraction form
    2,754.48/3,802.72 = 1,747.52/x
  3. Step 3: Cross multiply
    2,754.48x = 3,802.72 × 1,747.52
  4. Step 4: Simplify right side
    2,754.48x = 6,645,329.25
  5. Step 5: Solve for x
    x = 6,645,329.25/2,754.48
  6. Step 6: Final answer
    x = 2,412.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.