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Finding the Fourth Proportional to 2,068.40, 2,854.29 and 1,229.21

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Solution

The fourth proportional to 2,068.40, 2,854.29 and 1,229.21 is: 1,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.40 : 2,854.29 = 1,229.21 : x
  2. Step 2: Convert to fraction form
    2,068.40/2,854.29 = 1,229.21/x
  3. Step 3: Cross multiply
    2,068.40x = 2,854.29 × 1,229.21
  4. Step 4: Simplify right side
    2,068.40x = 3,508,521.81
  5. Step 5: Solve for x
    x = 3,508,521.81/2,068.40
  6. Step 6: Final answer
    x = 1,696.25

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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.