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Finding the Fourth Proportional to 1,663.88, 2,296.82 and 1,454.36

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Solution

The fourth proportional to 1,663.88, 2,296.82 and 1,454.36 is: 2,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.88 : 2,296.82 = 1,454.36 : x
  2. Step 2: Convert to fraction form
    1,663.88/2,296.82 = 1,454.36/x
  3. Step 3: Cross multiply
    1,663.88x = 2,296.82 × 1,454.36
  4. Step 4: Simplify right side
    1,663.88x = 3,340,395.29
  5. Step 5: Solve for x
    x = 3,340,395.29/1,663.88
  6. Step 6: Final answer
    x = 2,007.60

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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.