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Finding the Fourth Proportional to 3,132.54, 4,322.88 and 1,735.26

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Solution

The fourth proportional to 3,132.54, 4,322.88 and 1,735.26 is: 2,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.54 : 4,322.88 = 1,735.26 : x
  2. Step 2: Convert to fraction form
    3,132.54/4,322.88 = 1,735.26/x
  3. Step 3: Cross multiply
    3,132.54x = 4,322.88 × 1,735.26
  4. Step 4: Simplify right side
    3,132.54x = 7,501,320.75
  5. Step 5: Solve for x
    x = 7,501,320.75/3,132.54
  6. Step 6: Final answer
    x = 2,394.64

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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.