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Finding the Fourth Proportional to 1,663.88, 2,296.17 and 917.87

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Solution

The fourth proportional to 1,663.88, 2,296.17 and 917.87 is: 1,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.88 : 2,296.17 = 917.87 : x
  2. Step 2: Convert to fraction form
    1,663.88/2,296.17 = 917.87/x
  3. Step 3: Cross multiply
    1,663.88x = 2,296.17 × 917.87
  4. Step 4: Simplify right side
    1,663.88x = 2,107,574.08
  5. Step 5: Solve for x
    x = 2,107,574.08/1,663.88
  6. Step 6: Final answer
    x = 1,266.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.