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Finding the Fourth Proportional to 1,691.55, 2,332.83 and 1,062.14

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Solution

The fourth proportional to 1,691.55, 2,332.83 and 1,062.14 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.55 : 2,332.83 = 1,062.14 : x
  2. Step 2: Convert to fraction form
    1,691.55/2,332.83 = 1,062.14/x
  3. Step 3: Cross multiply
    1,691.55x = 2,332.83 × 1,062.14
  4. Step 4: Simplify right side
    1,691.55x = 2,477,789.14
  5. Step 5: Solve for x
    x = 2,477,789.14/1,691.55
  6. Step 6: Final answer
    x = 1,464.80

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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.