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Finding the Fourth Proportional to 3,151.34, 4,348.86 and 1,735

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Solution

The fourth proportional to 3,151.34, 4,348.86 and 1,735 is: 2,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.34 : 4,348.86 = 1,735 : x
  2. Step 2: Convert to fraction form
    3,151.34/4,348.86 = 1,735/x
  3. Step 3: Cross multiply
    3,151.34x = 4,348.86 × 1,735
  4. Step 4: Simplify right side
    3,151.34x = 7,545,272.10
  5. Step 5: Solve for x
    x = 7,545,272.10/3,151.34
  6. Step 6: Final answer
    x = 2,394.31

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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.