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Finding the Fourth Proportional to 2,869.66, 4,304.04 and 1,020.61

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Solution

The fourth proportional to 2,869.66, 4,304.04 and 1,020.61 is: 1,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.66 : 4,304.04 = 1,020.61 : x
  2. Step 2: Convert to fraction form
    2,869.66/4,304.04 = 1,020.61/x
  3. Step 3: Cross multiply
    2,869.66x = 4,304.04 × 1,020.61
  4. Step 4: Simplify right side
    2,869.66x = 4,392,746.26
  5. Step 5: Solve for x
    x = 4,392,746.26/2,869.66
  6. Step 6: Final answer
    x = 1,530.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.