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Finding the Fourth Proportional to 1,402.33, 1,930.99 and 1,371.58

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Solution

The fourth proportional to 1,402.33, 1,930.99 and 1,371.58 is: 1,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.33 : 1,930.99 = 1,371.58 : x
  2. Step 2: Convert to fraction form
    1,402.33/1,930.99 = 1,371.58/x
  3. Step 3: Cross multiply
    1,402.33x = 1,930.99 × 1,371.58
  4. Step 4: Simplify right side
    1,402.33x = 2,648,512.44
  5. Step 5: Solve for x
    x = 2,648,512.44/1,402.33
  6. Step 6: Final answer
    x = 1,888.65

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