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Finding the Fourth Proportional to 2,462.98, 3,397.65 and 1,666.34

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Solution

The fourth proportional to 2,462.98, 3,397.65 and 1,666.34 is: 2,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.98 : 3,397.65 = 1,666.34 : x
  2. Step 2: Convert to fraction form
    2,462.98/3,397.65 = 1,666.34/x
  3. Step 3: Cross multiply
    2,462.98x = 3,397.65 × 1,666.34
  4. Step 4: Simplify right side
    2,462.98x = 5,661,629.61
  5. Step 5: Solve for x
    x = 5,661,629.61/2,462.98
  6. Step 6: Final answer
    x = 2,298.69

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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.