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Finding the Fourth Proportional to 2,719.29, 4,079.54 and 870.56

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Solution

The fourth proportional to 2,719.29, 4,079.54 and 870.56 is: 1,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.29 : 4,079.54 = 870.56 : x
  2. Step 2: Convert to fraction form
    2,719.29/4,079.54 = 870.56/x
  3. Step 3: Cross multiply
    2,719.29x = 4,079.54 × 870.56
  4. Step 4: Simplify right side
    2,719.29x = 3,551,459.59
  5. Step 5: Solve for x
    x = 3,551,459.59/2,719.29
  6. Step 6: Final answer
    x = 1,306.02

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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.