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Finding the Fourth Proportional to 1,738.35, 2,398.12 and 1,539.38

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Solution

The fourth proportional to 1,738.35, 2,398.12 and 1,539.38 is: 2,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.35 : 2,398.12 = 1,539.38 : x
  2. Step 2: Convert to fraction form
    1,738.35/2,398.12 = 1,539.38/x
  3. Step 3: Cross multiply
    1,738.35x = 2,398.12 × 1,539.38
  4. Step 4: Simplify right side
    1,738.35x = 3,691,627.81
  5. Step 5: Solve for x
    x = 3,691,627.81/1,738.35
  6. Step 6: Final answer
    x = 2,123.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.