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Finding the Fourth Proportional to 2,886.49, 4,331.68 and 1,243.20

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Solution

The fourth proportional to 2,886.49, 4,331.68 and 1,243.20 is: 1,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.49 : 4,331.68 = 1,243.20 : x
  2. Step 2: Convert to fraction form
    2,886.49/4,331.68 = 1,243.20/x
  3. Step 3: Cross multiply
    2,886.49x = 4,331.68 × 1,243.20
  4. Step 4: Simplify right side
    2,886.49x = 5,385,133.35
  5. Step 5: Solve for x
    x = 5,385,133.35/2,886.49
  6. Step 6: Final answer
    x = 1,865.64

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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.