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Finding the Fourth Proportional to 2,068.52, 2,854.80 and 1,229.23

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Solution

The fourth proportional to 2,068.52, 2,854.80 and 1,229.23 is: 1,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.52 : 2,854.80 = 1,229.23 : x
  2. Step 2: Convert to fraction form
    2,068.52/2,854.80 = 1,229.23/x
  3. Step 3: Cross multiply
    2,068.52x = 2,854.80 × 1,229.23
  4. Step 4: Simplify right side
    2,068.52x = 3,509,209.37
  5. Step 5: Solve for x
    x = 3,509,209.37/2,068.52
  6. Step 6: Final answer
    x = 1,696.48

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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.