Home / 2,278.90-3,144.85-1,284.18

Finding the Fourth Proportional to 2,278.90, 3,144.85 and 1,284.18

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Solution

The fourth proportional to 2,278.90, 3,144.85 and 1,284.18 is: 1,772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.90 : 3,144.85 = 1,284.18 : x
  2. Step 2: Convert to fraction form
    2,278.90/3,144.85 = 1,284.18/x
  3. Step 3: Cross multiply
    2,278.90x = 3,144.85 × 1,284.18
  4. Step 4: Simplify right side
    2,278.90x = 4,038,553.47
  5. Step 5: Solve for x
    x = 4,038,553.47/2,278.90
  6. Step 6: Final answer
    x = 1,772.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.