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Finding the Fourth Proportional to 1,663.40, 2,294.73 and 1,074.13

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Solution

The fourth proportional to 1,663.40, 2,294.73 and 1,074.13 is: 1,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.40 : 2,294.73 = 1,074.13 : x
  2. Step 2: Convert to fraction form
    1,663.40/2,294.73 = 1,074.13/x
  3. Step 3: Cross multiply
    1,663.40x = 2,294.73 × 1,074.13
  4. Step 4: Simplify right side
    1,663.40x = 2,464,832.60
  5. Step 5: Solve for x
    x = 2,464,832.60/1,663.40
  6. Step 6: Final answer
    x = 1,481.80

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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.