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Finding the Fourth Proportional to 3,132.44, 4,323.06 and 1,735.64

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Solution

The fourth proportional to 3,132.44, 4,323.06 and 1,735.64 is: 2,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.44 : 4,323.06 = 1,735.64 : x
  2. Step 2: Convert to fraction form
    3,132.44/4,323.06 = 1,735.64/x
  3. Step 3: Cross multiply
    3,132.44x = 4,323.06 × 1,735.64
  4. Step 4: Simplify right side
    3,132.44x = 7,503,275.86
  5. Step 5: Solve for x
    x = 7,503,275.86/3,132.44
  6. Step 6: Final answer
    x = 2,395.35

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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.