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Finding the Fourth Proportional to 1,398.13, 1,928.40 and 1,187.98

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Solution

The fourth proportional to 1,398.13, 1,928.40 and 1,187.98 is: 1,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.13 : 1,928.40 = 1,187.98 : x
  2. Step 2: Convert to fraction form
    1,398.13/1,928.40 = 1,187.98/x
  3. Step 3: Cross multiply
    1,398.13x = 1,928.40 × 1,187.98
  4. Step 4: Simplify right side
    1,398.13x = 2,290,890.99
  5. Step 5: Solve for x
    x = 2,290,890.99/1,398.13
  6. Step 6: Final answer
    x = 1,638.54

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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.