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Finding the Fourth Proportional to 2,761.60, 4,122.08 and 2,588.80

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Solution

The fourth proportional to 2,761.60, 4,122.08 and 2,588.80 is: 3,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.60 : 4,122.08 = 2,588.80 : x
  2. Step 2: Convert to fraction form
    2,761.60/4,122.08 = 2,588.80/x
  3. Step 3: Cross multiply
    2,761.60x = 4,122.08 × 2,588.80
  4. Step 4: Simplify right side
    2,761.60x = 10,671,240.70
  5. Step 5: Solve for x
    x = 10,671,240.70/2,761.60
  6. Step 6: Final answer
    x = 3,864.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.