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Finding the Fourth Proportional to 2,298.70, 3,446.07 and 836.92

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Solution

The fourth proportional to 2,298.70, 3,446.07 and 836.92 is: 1,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.70 : 3,446.07 = 836.92 : x
  2. Step 2: Convert to fraction form
    2,298.70/3,446.07 = 836.92/x
  3. Step 3: Cross multiply
    2,298.70x = 3,446.07 × 836.92
  4. Step 4: Simplify right side
    2,298.70x = 2,884,084.90
  5. Step 5: Solve for x
    x = 2,884,084.90/2,298.70
  6. Step 6: Final answer
    x = 1,254.66

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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.