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Finding the Fourth Proportional to 2,654.44, 3,659.46 and 2,117.89

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Solution

The fourth proportional to 2,654.44, 3,659.46 and 2,117.89 is: 2,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.44 : 3,659.46 = 2,117.89 : x
  2. Step 2: Convert to fraction form
    2,654.44/3,659.46 = 2,117.89/x
  3. Step 3: Cross multiply
    2,654.44x = 3,659.46 × 2,117.89
  4. Step 4: Simplify right side
    2,654.44x = 7,750,332.30
  5. Step 5: Solve for x
    x = 7,750,332.30/2,654.44
  6. Step 6: Final answer
    x = 2,919.77

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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.