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Finding the Fourth Proportional to 3,132.63, 4,323.16 and 1,735.38

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Solution

The fourth proportional to 3,132.63, 4,323.16 and 1,735.38 is: 2,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.63 : 4,323.16 = 1,735.38 : x
  2. Step 2: Convert to fraction form
    3,132.63/4,323.16 = 1,735.38/x
  3. Step 3: Cross multiply
    3,132.63x = 4,323.16 × 1,735.38
  4. Step 4: Simplify right side
    3,132.63x = 7,502,299.45
  5. Step 5: Solve for x
    x = 7,502,299.45/3,132.63
  6. Step 6: Final answer
    x = 2,394.89

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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.