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Finding the Fourth Proportional to 2,299.46, 3,449.18 and 838.76

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Solution

The fourth proportional to 2,299.46, 3,449.18 and 838.76 is: 1,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.46 : 3,449.18 = 838.76 : x
  2. Step 2: Convert to fraction form
    2,299.46/3,449.18 = 838.76/x
  3. Step 3: Cross multiply
    2,299.46x = 3,449.18 × 838.76
  4. Step 4: Simplify right side
    2,299.46x = 2,893,019.07
  5. Step 5: Solve for x
    x = 2,893,019.07/2,299.46
  6. Step 6: Final answer
    x = 1,258.13

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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.