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Finding the Fourth Proportional to 1,663.24, 2,294.22 and 1,190.20

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Solution

The fourth proportional to 1,663.24, 2,294.22 and 1,190.20 is: 1,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.24 : 2,294.22 = 1,190.20 : x
  2. Step 2: Convert to fraction form
    1,663.24/2,294.22 = 1,190.20/x
  3. Step 3: Cross multiply
    1,663.24x = 2,294.22 × 1,190.20
  4. Step 4: Simplify right side
    1,663.24x = 2,730,580.64
  5. Step 5: Solve for x
    x = 2,730,580.64/1,663.24
  6. Step 6: Final answer
    x = 1,641.72

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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.