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Finding the Fourth Proportional to 1,398.78, 1,943.69 and 1,383.59

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Solution

The fourth proportional to 1,398.78, 1,943.69 and 1,383.59 is: 1,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.78 : 1,943.69 = 1,383.59 : x
  2. Step 2: Convert to fraction form
    1,398.78/1,943.69 = 1,383.59/x
  3. Step 3: Cross multiply
    1,398.78x = 1,943.69 × 1,383.59
  4. Step 4: Simplify right side
    1,398.78x = 2,689,253.41
  5. Step 5: Solve for x
    x = 2,689,253.41/1,398.78
  6. Step 6: Final answer
    x = 1,922.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.