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Finding the Fourth Proportional to 2,708.29, 4,060.95 and 952.84

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Solution

The fourth proportional to 2,708.29, 4,060.95 and 952.84 is: 1,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.29 : 4,060.95 = 952.84 : x
  2. Step 2: Convert to fraction form
    2,708.29/4,060.95 = 952.84/x
  3. Step 3: Cross multiply
    2,708.29x = 4,060.95 × 952.84
  4. Step 4: Simplify right side
    2,708.29x = 3,869,435.60
  5. Step 5: Solve for x
    x = 3,869,435.60/2,708.29
  6. Step 6: Final answer
    x = 1,428.74

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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.