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Finding the Fourth Proportional to 3,132.78, 4,322.80 and 1,735.62

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Solution

The fourth proportional to 3,132.78, 4,322.80 and 1,735.62 is: 2,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.78 : 4,322.80 = 1,735.62 : x
  2. Step 2: Convert to fraction form
    3,132.78/4,322.80 = 1,735.62/x
  3. Step 3: Cross multiply
    3,132.78x = 4,322.80 × 1,735.62
  4. Step 4: Simplify right side
    3,132.78x = 7,502,738.14
  5. Step 5: Solve for x
    x = 7,502,738.14/3,132.78
  6. Step 6: Final answer
    x = 2,394.91

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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.