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Finding the Fourth Proportional to 2,068.41, 2,854.23 and 1,229.04

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Solution

The fourth proportional to 2,068.41, 2,854.23 and 1,229.04 is: 1,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.41 : 2,854.23 = 1,229.04 : x
  2. Step 2: Convert to fraction form
    2,068.41/2,854.23 = 1,229.04/x
  3. Step 3: Cross multiply
    2,068.41x = 2,854.23 × 1,229.04
  4. Step 4: Simplify right side
    2,068.41x = 3,507,962.84
  5. Step 5: Solve for x
    x = 3,507,962.84/2,068.41
  6. Step 6: Final answer
    x = 1,695.97

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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.