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Finding the Fourth Proportional to 2,868.17, 4,301.71 and 1,019.21

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Solution

The fourth proportional to 2,868.17, 4,301.71 and 1,019.21 is: 1,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.17 : 4,301.71 = 1,019.21 : x
  2. Step 2: Convert to fraction form
    2,868.17/4,301.71 = 1,019.21/x
  3. Step 3: Cross multiply
    2,868.17x = 4,301.71 × 1,019.21
  4. Step 4: Simplify right side
    2,868.17x = 4,384,345.85
  5. Step 5: Solve for x
    x = 4,384,345.85/2,868.17
  6. Step 6: Final answer
    x = 1,528.62

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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.