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Finding the Fourth Proportional to 3,132.56, 4,323.02 and 1,735.32

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Solution

The fourth proportional to 3,132.56, 4,323.02 and 1,735.32 is: 2,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.56 : 4,323.02 = 1,735.32 : x
  2. Step 2: Convert to fraction form
    3,132.56/4,323.02 = 1,735.32/x
  3. Step 3: Cross multiply
    3,132.56x = 4,323.02 × 1,735.32
  4. Step 4: Simplify right side
    3,132.56x = 7,501,823.07
  5. Step 5: Solve for x
    x = 7,501,823.07/3,132.56
  6. Step 6: Final answer
    x = 2,394.79

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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.