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Finding the Fourth Proportional to 2,602.59, 3,587.97 and 1,761.96

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Solution

The fourth proportional to 2,602.59, 3,587.97 and 1,761.96 is: 2,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.59 : 3,587.97 = 1,761.96 : x
  2. Step 2: Convert to fraction form
    2,602.59/3,587.97 = 1,761.96/x
  3. Step 3: Cross multiply
    2,602.59x = 3,587.97 × 1,761.96
  4. Step 4: Simplify right side
    2,602.59x = 6,321,859.62
  5. Step 5: Solve for x
    x = 6,321,859.62/2,602.59
  6. Step 6: Final answer
    x = 2,429.06

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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.