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Finding the Fourth Proportional to 2,394.77, 3,590.72 and 932.21

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Solution

The fourth proportional to 2,394.77, 3,590.72 and 932.21 is: 1,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.77 : 3,590.72 = 932.21 : x
  2. Step 2: Convert to fraction form
    2,394.77/3,590.72 = 932.21/x
  3. Step 3: Cross multiply
    2,394.77x = 3,590.72 × 932.21
  4. Step 4: Simplify right side
    2,394.77x = 3,347,282.48
  5. Step 5: Solve for x
    x = 3,347,282.48/2,394.77
  6. Step 6: Final answer
    x = 1,397.75

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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.