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Finding the Fourth Proportional to 3,005.27, 4,507.91 and 925.19

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Solution

The fourth proportional to 3,005.27, 4,507.91 and 925.19 is: 1,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.27 : 4,507.91 = 925.19 : x
  2. Step 2: Convert to fraction form
    3,005.27/4,507.91 = 925.19/x
  3. Step 3: Cross multiply
    3,005.27x = 4,507.91 × 925.19
  4. Step 4: Simplify right side
    3,005.27x = 4,170,646.09
  5. Step 5: Solve for x
    x = 4,170,646.09/3,005.27
  6. Step 6: Final answer
    x = 1,387.78

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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.