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Finding the Fourth Proportional to 3,652.67, 5,478.15 and 1,460.81

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Solution

The fourth proportional to 3,652.67, 5,478.15 and 1,460.81 is: 2,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.67 : 5,478.15 = 1,460.81 : x
  2. Step 2: Convert to fraction form
    3,652.67/5,478.15 = 1,460.81/x
  3. Step 3: Cross multiply
    3,652.67x = 5,478.15 × 1,460.81
  4. Step 4: Simplify right side
    3,652.67x = 8,002,536.30
  5. Step 5: Solve for x
    x = 8,002,536.30/3,652.67
  6. Step 6: Final answer
    x = 2,190.87

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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.