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Finding the Fourth Proportional to 2,466, 3,700.15 and 1,079.15

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Solution

The fourth proportional to 2,466, 3,700.15 and 1,079.15 is: 1,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 3,700.15 = 1,079.15 : x
  2. Step 2: Convert to fraction form
    2,466/3,700.15 = 1,079.15/x
  3. Step 3: Cross multiply
    2,466x = 3,700.15 × 1,079.15
  4. Step 4: Simplify right side
    2,466x = 3,993,023.42
  5. Step 5: Solve for x
    x = 3,993,023.42/2,466
  6. Step 6: Final answer
    x = 1,619.23

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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.