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Finding the Fourth Proportional to 2,223.95, 3,069.12 and 1,229.29

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Solution

The fourth proportional to 2,223.95, 3,069.12 and 1,229.29 is: 1,696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.95 : 3,069.12 = 1,229.29 : x
  2. Step 2: Convert to fraction form
    2,223.95/3,069.12 = 1,229.29/x
  3. Step 3: Cross multiply
    2,223.95x = 3,069.12 × 1,229.29
  4. Step 4: Simplify right side
    2,223.95x = 3,772,838.52
  5. Step 5: Solve for x
    x = 3,772,838.52/2,223.95
  6. Step 6: Final answer
    x = 1,696.46

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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.