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Finding the Fourth Proportional to 2,809.64, 4,214.91 and 1,250.18

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Solution

The fourth proportional to 2,809.64, 4,214.91 and 1,250.18 is: 1,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.64 : 4,214.91 = 1,250.18 : x
  2. Step 2: Convert to fraction form
    2,809.64/4,214.91 = 1,250.18/x
  3. Step 3: Cross multiply
    2,809.64x = 4,214.91 × 1,250.18
  4. Step 4: Simplify right side
    2,809.64x = 5,269,375.11
  5. Step 5: Solve for x
    x = 5,269,375.11/2,809.64
  6. Step 6: Final answer
    x = 1,875.47

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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.