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Finding the Fourth Proportional to 2,606.75, 3,598.47 and 1,663.78

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Solution

The fourth proportional to 2,606.75, 3,598.47 and 1,663.78 is: 2,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.75 : 3,598.47 = 1,663.78 : x
  2. Step 2: Convert to fraction form
    2,606.75/3,598.47 = 1,663.78/x
  3. Step 3: Cross multiply
    2,606.75x = 3,598.47 × 1,663.78
  4. Step 4: Simplify right side
    2,606.75x = 5,987,062.42
  5. Step 5: Solve for x
    x = 5,987,062.42/2,606.75
  6. Step 6: Final answer
    x = 2,296.75

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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.