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Finding the Fourth Proportional to 2,841.68, 4,264.31 and 1,508.69

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Solution

The fourth proportional to 2,841.68, 4,264.31 and 1,508.69 is: 2,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.68 : 4,264.31 = 1,508.69 : x
  2. Step 2: Convert to fraction form
    2,841.68/4,264.31 = 1,508.69/x
  3. Step 3: Cross multiply
    2,841.68x = 4,264.31 × 1,508.69
  4. Step 4: Simplify right side
    2,841.68x = 6,433,536.29
  5. Step 5: Solve for x
    x = 6,433,536.29/2,841.68
  6. Step 6: Final answer
    x = 2,263.99

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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.