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Finding the Fourth Proportional to 2,873.66, 4,291.02 and 2,282.02

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Solution

The fourth proportional to 2,873.66, 4,291.02 and 2,282.02 is: 3,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.66 : 4,291.02 = 2,282.02 : x
  2. Step 2: Convert to fraction form
    2,873.66/4,291.02 = 2,282.02/x
  3. Step 3: Cross multiply
    2,873.66x = 4,291.02 × 2,282.02
  4. Step 4: Simplify right side
    2,873.66x = 9,792,182.73
  5. Step 5: Solve for x
    x = 9,792,182.73/2,873.66
  6. Step 6: Final answer
    x = 3,407.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.