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Finding the Fourth Proportional to 1,663.48, 2,278.98 and 1,601.20

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Solution

The fourth proportional to 1,663.48, 2,278.98 and 1,601.20 is: 2,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.48 : 2,278.98 = 1,601.20 : x
  2. Step 2: Convert to fraction form
    1,663.48/2,278.98 = 1,601.20/x
  3. Step 3: Cross multiply
    1,663.48x = 2,278.98 × 1,601.20
  4. Step 4: Simplify right side
    1,663.48x = 3,649,102.78
  5. Step 5: Solve for x
    x = 3,649,102.78/1,663.48
  6. Step 6: Final answer
    x = 2,193.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.