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Finding the Fourth Proportional to 2,472.46, 3,705.99 and 1,498.30

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Solution

The fourth proportional to 2,472.46, 3,705.99 and 1,498.30 is: 2,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.46 : 3,705.99 = 1,498.30 : x
  2. Step 2: Convert to fraction form
    2,472.46/3,705.99 = 1,498.30/x
  3. Step 3: Cross multiply
    2,472.46x = 3,705.99 × 1,498.30
  4. Step 4: Simplify right side
    2,472.46x = 5,552,684.82
  5. Step 5: Solve for x
    x = 5,552,684.82/2,472.46
  6. Step 6: Final answer
    x = 2,245.81

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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.