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Finding the Fourth Proportional to 2,665.28, 4,000.48 and 2,497.60

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Solution

The fourth proportional to 2,665.28, 4,000.48 and 2,497.60 is: 3,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.28 : 4,000.48 = 2,497.60 : x
  2. Step 2: Convert to fraction form
    2,665.28/4,000.48 = 2,497.60/x
  3. Step 3: Cross multiply
    2,665.28x = 4,000.48 × 2,497.60
  4. Step 4: Simplify right side
    2,665.28x = 9,991,598.85
  5. Step 5: Solve for x
    x = 9,991,598.85/2,665.28
  6. Step 6: Final answer
    x = 3,748.80

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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.