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Finding the Fourth Proportional to 2,654.47, 3,971.05 and 2,064.91

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Solution

The fourth proportional to 2,654.47, 3,971.05 and 2,064.91 is: 3,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.47 : 3,971.05 = 2,064.91 : x
  2. Step 2: Convert to fraction form
    2,654.47/3,971.05 = 2,064.91/x
  3. Step 3: Cross multiply
    2,654.47x = 3,971.05 × 2,064.91
  4. Step 4: Simplify right side
    2,654.47x = 8,199,860.86
  5. Step 5: Solve for x
    x = 8,199,860.86/2,654.47
  6. Step 6: Final answer
    x = 3,089.08

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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.