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Finding the Fourth Proportional to 2,437.62, 3,649.03 and 1,338.65

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Solution

The fourth proportional to 2,437.62, 3,649.03 and 1,338.65 is: 2,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.62 : 3,649.03 = 1,338.65 : x
  2. Step 2: Convert to fraction form
    2,437.62/3,649.03 = 1,338.65/x
  3. Step 3: Cross multiply
    2,437.62x = 3,649.03 × 1,338.65
  4. Step 4: Simplify right side
    2,437.62x = 4,884,774.01
  5. Step 5: Solve for x
    x = 4,884,774.01/2,437.62
  6. Step 6: Final answer
    x = 2,003.91

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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.