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Finding the Fourth Proportional to 2,301.27, 3,451.82 and 569.90

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Solution

The fourth proportional to 2,301.27, 3,451.82 and 569.90 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.27 : 3,451.82 = 569.90 : x
  2. Step 2: Convert to fraction form
    2,301.27/3,451.82 = 569.90/x
  3. Step 3: Cross multiply
    2,301.27x = 3,451.82 × 569.90
  4. Step 4: Simplify right side
    2,301.27x = 1,967,172.11
  5. Step 5: Solve for x
    x = 1,967,172.11/2,301.27
  6. Step 6: Final answer
    x = 854.82

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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.