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Finding the Fourth Proportional to 2,274.86, 3,139.28 and 1,280.14

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Solution

The fourth proportional to 2,274.86, 3,139.28 and 1,280.14 is: 1,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.86 : 3,139.28 = 1,280.14 : x
  2. Step 2: Convert to fraction form
    2,274.86/3,139.28 = 1,280.14/x
  3. Step 3: Cross multiply
    2,274.86x = 3,139.28 × 1,280.14
  4. Step 4: Simplify right side
    2,274.86x = 4,018,714.34
  5. Step 5: Solve for x
    x = 4,018,714.34/2,274.86
  6. Step 6: Final answer
    x = 1,766.57

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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.