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Finding the Fourth Proportional to 2,474.98, 3,707.31 and 1,484.66

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Solution

The fourth proportional to 2,474.98, 3,707.31 and 1,484.66 is: 2,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.98 : 3,707.31 = 1,484.66 : x
  2. Step 2: Convert to fraction form
    2,474.98/3,707.31 = 1,484.66/x
  3. Step 3: Cross multiply
    2,474.98x = 3,707.31 × 1,484.66
  4. Step 4: Simplify right side
    2,474.98x = 5,504,068.90
  5. Step 5: Solve for x
    x = 5,504,068.90/2,474.98
  6. Step 6: Final answer
    x = 2,223.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.