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Finding the Fourth Proportional to 1,666.13, 2,498.72 and 691.02

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Solution

The fourth proportional to 1,666.13, 2,498.72 and 691.02 is: 1,036.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.13 : 2,498.72 = 691.02 : x
  2. Step 2: Convert to fraction form
    1,666.13/2,498.72 = 691.02/x
  3. Step 3: Cross multiply
    1,666.13x = 2,498.72 × 691.02
  4. Step 4: Simplify right side
    1,666.13x = 1,726,662.04
  5. Step 5: Solve for x
    x = 1,726,662.04/1,666.13
  6. Step 6: Final answer
    x = 1,036.33

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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.