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Finding the Fourth Proportional to 1,663.26, 2,295.41 and 917.25

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Solution

The fourth proportional to 1,663.26, 2,295.41 and 917.25 is: 1,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.26 : 2,295.41 = 917.25 : x
  2. Step 2: Convert to fraction form
    1,663.26/2,295.41 = 917.25/x
  3. Step 3: Cross multiply
    1,663.26x = 2,295.41 × 917.25
  4. Step 4: Simplify right side
    1,663.26x = 2,105,465.82
  5. Step 5: Solve for x
    x = 2,105,465.82/1,663.26
  6. Step 6: Final answer
    x = 1,265.87

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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.