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Finding the Fourth Proportional to 2,600.56, 3,587.89 and 1,480.70

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Solution

The fourth proportional to 2,600.56, 3,587.89 and 1,480.70 is: 2,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.56 : 3,587.89 = 1,480.70 : x
  2. Step 2: Convert to fraction form
    2,600.56/3,587.89 = 1,480.70/x
  3. Step 3: Cross multiply
    2,600.56x = 3,587.89 × 1,480.70
  4. Step 4: Simplify right side
    2,600.56x = 5,312,600.93
  5. Step 5: Solve for x
    x = 5,312,600.93/2,600.56
  6. Step 6: Final answer
    x = 2,042.87

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