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Finding the Fourth Proportional to 2,290.78, 3,414.29 and 2,223.95

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Solution

The fourth proportional to 2,290.78, 3,414.29 and 2,223.95 is: 3,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.78 : 3,414.29 = 2,223.95 : x
  2. Step 2: Convert to fraction form
    2,290.78/3,414.29 = 2,223.95/x
  3. Step 3: Cross multiply
    2,290.78x = 3,414.29 × 2,223.95
  4. Step 4: Simplify right side
    2,290.78x = 7,593,210.25
  5. Step 5: Solve for x
    x = 7,593,210.25/2,290.78
  6. Step 6: Final answer
    x = 3,314.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.