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Finding the Fourth Proportional to 2,318.92, 3,478.29 and 779.92

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Solution

The fourth proportional to 2,318.92, 3,478.29 and 779.92 is: 1,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.92 : 3,478.29 = 779.92 : x
  2. Step 2: Convert to fraction form
    2,318.92/3,478.29 = 779.92/x
  3. Step 3: Cross multiply
    2,318.92x = 3,478.29 × 779.92
  4. Step 4: Simplify right side
    2,318.92x = 2,712,787.94
  5. Step 5: Solve for x
    x = 2,712,787.94/2,318.92
  6. Step 6: Final answer
    x = 1,169.85

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1.5x scale

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.