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Finding the Fourth Proportional to 1,663.91, 2,296.26 and 1,034.51

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Solution

The fourth proportional to 1,663.91, 2,296.26 and 1,034.51 is: 1,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.91 : 2,296.26 = 1,034.51 : x
  2. Step 2: Convert to fraction form
    1,663.91/2,296.26 = 1,034.51/x
  3. Step 3: Cross multiply
    1,663.91x = 2,296.26 × 1,034.51
  4. Step 4: Simplify right side
    1,663.91x = 2,375,498.76
  5. Step 5: Solve for x
    x = 2,375,498.76/1,663.91
  6. Step 6: Final answer
    x = 1,427.66

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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.