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Finding the Fourth Proportional to 3,604.92, 5,402.68 and 1,652.80

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Solution

The fourth proportional to 3,604.92, 5,402.68 and 1,652.80 is: 2,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.92 : 5,402.68 = 1,652.80 : x
  2. Step 2: Convert to fraction form
    3,604.92/5,402.68 = 1,652.80/x
  3. Step 3: Cross multiply
    3,604.92x = 5,402.68 × 1,652.80
  4. Step 4: Simplify right side
    3,604.92x = 8,929,549.50
  5. Step 5: Solve for x
    x = 8,929,549.50/3,604.92
  6. Step 6: Final answer
    x = 2,477.05

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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.