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Finding the Fourth Proportional to 2,689.52, 3,708.56 and 1,693.60

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Solution

The fourth proportional to 2,689.52, 3,708.56 and 1,693.60 is: 2,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.52 : 3,708.56 = 1,693.60 : x
  2. Step 2: Convert to fraction form
    2,689.52/3,708.56 = 1,693.60/x
  3. Step 3: Cross multiply
    2,689.52x = 3,708.56 × 1,693.60
  4. Step 4: Simplify right side
    2,689.52x = 6,280,817.22
  5. Step 5: Solve for x
    x = 6,280,817.22/2,689.52
  6. Step 6: Final answer
    x = 2,335.29

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1.5x scale

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.