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Finding the Fourth Proportional to 2,510.32, 3,766.08 and 866.88

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Solution

The fourth proportional to 2,510.32, 3,766.08 and 866.88 is: 1,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.32 : 3,766.08 = 866.88 : x
  2. Step 2: Convert to fraction form
    2,510.32/3,766.08 = 866.88/x
  3. Step 3: Cross multiply
    2,510.32x = 3,766.08 × 866.88
  4. Step 4: Simplify right side
    2,510.32x = 3,264,748.85
  5. Step 5: Solve for x
    x = 3,264,748.85/2,510.32
  6. Step 6: Final answer
    x = 1,300.53

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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.