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Finding the Fourth Proportional to 2,477.60, 3,715.20 and 1,380.80

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Solution

The fourth proportional to 2,477.60, 3,715.20 and 1,380.80 is: 2,070.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.60 : 3,715.20 = 1,380.80 : x
  2. Step 2: Convert to fraction form
    2,477.60/3,715.20 = 1,380.80/x
  3. Step 3: Cross multiply
    2,477.60x = 3,715.20 × 1,380.80
  4. Step 4: Simplify right side
    2,477.60x = 5,129,948.16
  5. Step 5: Solve for x
    x = 5,129,948.16/2,477.60
  6. Step 6: Final answer
    x = 2,070.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.