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Finding the Fourth Proportional to 2,462.70, 3,397.11 and 1,467.66

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Solution

The fourth proportional to 2,462.70, 3,397.11 and 1,467.66 is: 2,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.70 : 3,397.11 = 1,467.66 : x
  2. Step 2: Convert to fraction form
    2,462.70/3,397.11 = 1,467.66/x
  3. Step 3: Cross multiply
    2,462.70x = 3,397.11 × 1,467.66
  4. Step 4: Simplify right side
    2,462.70x = 4,985,802.46
  5. Step 5: Solve for x
    x = 4,985,802.46/2,462.70
  6. Step 6: Final answer
    x = 2,024.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.