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Finding the Fourth Proportional to 2,298.78, 3,449.99 and 838.35

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Solution

The fourth proportional to 2,298.78, 3,449.99 and 838.35 is: 1,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.78 : 3,449.99 = 838.35 : x
  2. Step 2: Convert to fraction form
    2,298.78/3,449.99 = 838.35/x
  3. Step 3: Cross multiply
    2,298.78x = 3,449.99 × 838.35
  4. Step 4: Simplify right side
    2,298.78x = 2,892,299.12
  5. Step 5: Solve for x
    x = 2,892,299.12/2,298.78
  6. Step 6: Final answer
    x = 1,258.19

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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.