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Finding the Fourth Proportional to 3,049.64, 4,208.49 and 1,652.39

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Solution

The fourth proportional to 3,049.64, 4,208.49 and 1,652.39 is: 2,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.64 : 4,208.49 = 1,652.39 : x
  2. Step 2: Convert to fraction form
    3,049.64/4,208.49 = 1,652.39/x
  3. Step 3: Cross multiply
    3,049.64x = 4,208.49 × 1,652.39
  4. Step 4: Simplify right side
    3,049.64x = 6,954,045.75
  5. Step 5: Solve for x
    x = 6,954,045.75/3,049.64
  6. Step 6: Final answer
    x = 2,280.29

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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.