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Finding the Fourth Proportional to 1,923.38, 2,882.35 and 1,488.50

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Solution

The fourth proportional to 1,923.38, 2,882.35 and 1,488.50 is: 2,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.38 : 2,882.35 = 1,488.50 : x
  2. Step 2: Convert to fraction form
    1,923.38/2,882.35 = 1,488.50/x
  3. Step 3: Cross multiply
    1,923.38x = 2,882.35 × 1,488.50
  4. Step 4: Simplify right side
    1,923.38x = 4,290,377.98
  5. Step 5: Solve for x
    x = 4,290,377.98/1,923.38
  6. Step 6: Final answer
    x = 2,230.64

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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.