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Finding the Fourth Proportional to 2,104.67, 3,152.96 and 1,177.42

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Solution

The fourth proportional to 2,104.67, 3,152.96 and 1,177.42 is: 1,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.67 : 3,152.96 = 1,177.42 : x
  2. Step 2: Convert to fraction form
    2,104.67/3,152.96 = 1,177.42/x
  3. Step 3: Cross multiply
    2,104.67x = 3,152.96 × 1,177.42
  4. Step 4: Simplify right side
    2,104.67x = 3,712,349.16
  5. Step 5: Solve for x
    x = 3,712,349.16/2,104.67
  6. Step 6: Final answer
    x = 1,763.86

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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.