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Finding the Fourth Proportional to 1,545.28, 2,318.64 and 967.84

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Solution

The fourth proportional to 1,545.28, 2,318.64 and 967.84 is: 1,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.28 : 2,318.64 = 967.84 : x
  2. Step 2: Convert to fraction form
    1,545.28/2,318.64 = 967.84/x
  3. Step 3: Cross multiply
    1,545.28x = 2,318.64 × 967.84
  4. Step 4: Simplify right side
    1,545.28x = 2,244,072.54
  5. Step 5: Solve for x
    x = 2,244,072.54/1,545.28
  6. Step 6: Final answer
    x = 1,452.21

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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.