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Finding the Fourth Proportional to 2,510.30, 3,766.80 and 1,049.60

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Solution

The fourth proportional to 2,510.30, 3,766.80 and 1,049.60 is: 1,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.30 : 3,766.80 = 1,049.60 : x
  2. Step 2: Convert to fraction form
    2,510.30/3,766.80 = 1,049.60/x
  3. Step 3: Cross multiply
    2,510.30x = 3,766.80 × 1,049.60
  4. Step 4: Simplify right side
    2,510.30x = 3,953,633.28
  5. Step 5: Solve for x
    x = 3,953,633.28/2,510.30
  6. Step 6: Final answer
    x = 1,574.96

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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.