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Finding the Fourth Proportional to 2,474.40, 3,710.64 and 1,013.04

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Solution

The fourth proportional to 2,474.40, 3,710.64 and 1,013.04 is: 1,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.40 : 3,710.64 = 1,013.04 : x
  2. Step 2: Convert to fraction form
    2,474.40/3,710.64 = 1,013.04/x
  3. Step 3: Cross multiply
    2,474.40x = 3,710.64 × 1,013.04
  4. Step 4: Simplify right side
    2,474.40x = 3,759,026.75
  5. Step 5: Solve for x
    x = 3,759,026.75/2,474.40
  6. Step 6: Final answer
    x = 1,519.17

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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.