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Finding the Fourth Proportional to 2,510.78, 3,765.87 and 662.04

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Solution

The fourth proportional to 2,510.78, 3,765.87 and 662.04 is: 992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.78 : 3,765.87 = 662.04 : x
  2. Step 2: Convert to fraction form
    2,510.78/3,765.87 = 662.04/x
  3. Step 3: Cross multiply
    2,510.78x = 3,765.87 × 662.04
  4. Step 4: Simplify right side
    2,510.78x = 2,493,156.57
  5. Step 5: Solve for x
    x = 2,493,156.57/2,510.78
  6. Step 6: Final answer
    x = 992.98

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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.