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Finding the Fourth Proportional to 2,719.41, 4,078.85 and 870.02

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Solution

The fourth proportional to 2,719.41, 4,078.85 and 870.02 is: 1,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.41 : 4,078.85 = 870.02 : x
  2. Step 2: Convert to fraction form
    2,719.41/4,078.85 = 870.02/x
  3. Step 3: Cross multiply
    2,719.41x = 4,078.85 × 870.02
  4. Step 4: Simplify right side
    2,719.41x = 3,548,676.73
  5. Step 5: Solve for x
    x = 3,548,676.73/2,719.41
  6. Step 6: Final answer
    x = 1,304.95

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Why These Related Problems?

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