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Finding the Fourth Proportional to 1,663.85, 2,296.10 and 917.84

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Solution

The fourth proportional to 1,663.85, 2,296.10 and 917.84 is: 1,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.85 : 2,296.10 = 917.84 : x
  2. Step 2: Convert to fraction form
    1,663.85/2,296.10 = 917.84/x
  3. Step 3: Cross multiply
    1,663.85x = 2,296.10 × 917.84
  4. Step 4: Simplify right side
    1,663.85x = 2,107,436.35
  5. Step 5: Solve for x
    x = 2,107,436.35/1,663.85
  6. Step 6: Final answer
    x = 1,266.61

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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.