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Finding the Fourth Proportional to 2,398.74, 3,598.14 and 838.68

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Solution

The fourth proportional to 2,398.74, 3,598.14 and 838.68 is: 1,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.74 : 3,598.14 = 838.68 : x
  2. Step 2: Convert to fraction form
    2,398.74/3,598.14 = 838.68/x
  3. Step 3: Cross multiply
    2,398.74x = 3,598.14 × 838.68
  4. Step 4: Simplify right side
    2,398.74x = 3,017,688.06
  5. Step 5: Solve for x
    x = 3,017,688.06/2,398.74
  6. Step 6: Final answer
    x = 1,258.03

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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.