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Finding the Fourth Proportional to 3,132.64, 4,323 and 1,735.48

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Solution

The fourth proportional to 3,132.64, 4,323 and 1,735.48 is: 2,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.64 : 4,323 = 1,735.48 : x
  2. Step 2: Convert to fraction form
    3,132.64/4,323 = 1,735.48/x
  3. Step 3: Cross multiply
    3,132.64x = 4,323 × 1,735.48
  4. Step 4: Simplify right side
    3,132.64x = 7,502,480.04
  5. Step 5: Solve for x
    x = 7,502,480.04/3,132.64
  6. Step 6: Final answer
    x = 2,394.94

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Why These Related Problems?

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