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Finding the Fourth Proportional to 2,475.90, 3,711.04 and 1,014.24

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Solution

The fourth proportional to 2,475.90, 3,711.04 and 1,014.24 is: 1,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.90 : 3,711.04 = 1,014.24 : x
  2. Step 2: Convert to fraction form
    2,475.90/3,711.04 = 1,014.24/x
  3. Step 3: Cross multiply
    2,475.90x = 3,711.04 × 1,014.24
  4. Step 4: Simplify right side
    2,475.90x = 3,763,885.21
  5. Step 5: Solve for x
    x = 3,763,885.21/2,475.90
  6. Step 6: Final answer
    x = 1,520.21

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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.