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Finding the Fourth Proportional to 2,865.97, 4,298.96 and 918.17

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Solution

The fourth proportional to 2,865.97, 4,298.96 and 918.17 is: 1,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.97 : 4,298.96 = 918.17 : x
  2. Step 2: Convert to fraction form
    2,865.97/4,298.96 = 918.17/x
  3. Step 3: Cross multiply
    2,865.97x = 4,298.96 × 918.17
  4. Step 4: Simplify right side
    2,865.97x = 3,947,176.10
  5. Step 5: Solve for x
    x = 3,947,176.10/2,865.97
  6. Step 6: Final answer
    x = 1,377.26

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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.