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Finding the Fourth Proportional to 3,049.74, 4,208.65 and 1,652.49

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Solution

The fourth proportional to 3,049.74, 4,208.65 and 1,652.49 is: 2,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.74 : 4,208.65 = 1,652.49 : x
  2. Step 2: Convert to fraction form
    3,049.74/4,208.65 = 1,652.49/x
  3. Step 3: Cross multiply
    3,049.74x = 4,208.65 × 1,652.49
  4. Step 4: Simplify right side
    3,049.74x = 6,954,747.91
  5. Step 5: Solve for x
    x = 6,954,747.91/3,049.74
  6. Step 6: Final answer
    x = 2,280.44

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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.