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Finding the Fourth Proportional to 3,574.77, 5,363.42 and 1,600.22

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Solution

The fourth proportional to 3,574.77, 5,363.42 and 1,600.22 is: 2,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.77 : 5,363.42 = 1,600.22 : x
  2. Step 2: Convert to fraction form
    3,574.77/5,363.42 = 1,600.22/x
  3. Step 3: Cross multiply
    3,574.77x = 5,363.42 × 1,600.22
  4. Step 4: Simplify right side
    3,574.77x = 8,582,651.95
  5. Step 5: Solve for x
    x = 8,582,651.95/3,574.77
  6. Step 6: Final answer
    x = 2,400.90

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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.