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Finding the Fourth Proportional to 2,007.48, 2,773.85 and 1,449.80

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Solution

The fourth proportional to 2,007.48, 2,773.85 and 1,449.80 is: 2,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.48 : 2,773.85 = 1,449.80 : x
  2. Step 2: Convert to fraction form
    2,007.48/2,773.85 = 1,449.80/x
  3. Step 3: Cross multiply
    2,007.48x = 2,773.85 × 1,449.80
  4. Step 4: Simplify right side
    2,007.48x = 4,021,517.01
  5. Step 5: Solve for x
    x = 4,021,517.01/2,007.48
  6. Step 6: Final answer
    x = 2,003.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.