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Finding the Fourth Proportional to 1,616.06, 2,422.47 and 793.10

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Solution

The fourth proportional to 1,616.06, 2,422.47 and 793.10 is: 1,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.06 : 2,422.47 = 793.10 : x
  2. Step 2: Convert to fraction form
    1,616.06/2,422.47 = 793.10/x
  3. Step 3: Cross multiply
    1,616.06x = 2,422.47 × 793.10
  4. Step 4: Simplify right side
    1,616.06x = 1,921,260.96
  5. Step 5: Solve for x
    x = 1,921,260.96/1,616.06
  6. Step 6: Final answer
    x = 1,188.85

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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.