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Finding the Fourth Proportional to 2,864.67, 4,296.47 and 1,015.71

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Solution

The fourth proportional to 2,864.67, 4,296.47 and 1,015.71 is: 1,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.67 : 4,296.47 = 1,015.71 : x
  2. Step 2: Convert to fraction form
    2,864.67/4,296.47 = 1,015.71/x
  3. Step 3: Cross multiply
    2,864.67x = 4,296.47 × 1,015.71
  4. Step 4: Simplify right side
    2,864.67x = 4,363,962.47
  5. Step 5: Solve for x
    x = 4,363,962.47/2,864.67
  6. Step 6: Final answer
    x = 1,523.37

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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.