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Finding the Fourth Proportional to 1,549.87, 2,323.38 and 1,000.42

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Solution

The fourth proportional to 1,549.87, 2,323.38 and 1,000.42 is: 1,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.87 : 2,323.38 = 1,000.42 : x
  2. Step 2: Convert to fraction form
    1,549.87/2,323.38 = 1,000.42/x
  3. Step 3: Cross multiply
    1,549.87x = 2,323.38 × 1,000.42
  4. Step 4: Simplify right side
    1,549.87x = 2,324,355.82
  5. Step 5: Solve for x
    x = 2,324,355.82/1,549.87
  6. Step 6: Final answer
    x = 1,499.71

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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.