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Finding the Fourth Proportional to 2,108.06, 3,162.10 and 952.46

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Solution

The fourth proportional to 2,108.06, 3,162.10 and 952.46 is: 1,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.06 : 3,162.10 = 952.46 : x
  2. Step 2: Convert to fraction form
    2,108.06/3,162.10 = 952.46/x
  3. Step 3: Cross multiply
    2,108.06x = 3,162.10 × 952.46
  4. Step 4: Simplify right side
    2,108.06x = 3,011,773.77
  5. Step 5: Solve for x
    x = 3,011,773.77/2,108.06
  6. Step 6: Final answer
    x = 1,428.69

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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.