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Finding the Fourth Proportional to 2,753.60, 4,110.16 and 2,580.80

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Solution

The fourth proportional to 2,753.60, 4,110.16 and 2,580.80 is: 3,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.60 : 4,110.16 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    2,753.60/4,110.16 = 2,580.80/x
  3. Step 3: Cross multiply
    2,753.60x = 4,110.16 × 2,580.80
  4. Step 4: Simplify right side
    2,753.60x = 10,607,500.93
  5. Step 5: Solve for x
    x = 10,607,500.93/2,753.60
  6. Step 6: Final answer
    x = 3,852.23

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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.