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Finding the Fourth Proportional to 1,398.67, 1,929.18 and 1,187.39

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Solution

The fourth proportional to 1,398.67, 1,929.18 and 1,187.39 is: 1,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.67 : 1,929.18 = 1,187.39 : x
  2. Step 2: Convert to fraction form
    1,398.67/1,929.18 = 1,187.39/x
  3. Step 3: Cross multiply
    1,398.67x = 1,929.18 × 1,187.39
  4. Step 4: Simplify right side
    1,398.67x = 2,290,679.39
  5. Step 5: Solve for x
    x = 2,290,679.39/1,398.67
  6. Step 6: Final answer
    x = 1,637.76

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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.