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Finding the Fourth Proportional to 1,666.97, 2,497.34 and 1,042.46

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Solution

The fourth proportional to 1,666.97, 2,497.34 and 1,042.46 is: 1,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.97 : 2,497.34 = 1,042.46 : x
  2. Step 2: Convert to fraction form
    1,666.97/2,497.34 = 1,042.46/x
  3. Step 3: Cross multiply
    1,666.97x = 2,497.34 × 1,042.46
  4. Step 4: Simplify right side
    1,666.97x = 2,603,367.18
  5. Step 5: Solve for x
    x = 2,603,367.18/1,666.97
  6. Step 6: Final answer
    x = 1,561.74

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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.