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Finding the Fourth Proportional to 1,663.66, 2,296.92 and 1,488.70

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Solution

The fourth proportional to 1,663.66, 2,296.92 and 1,488.70 is: 2,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.66 : 2,296.92 = 1,488.70 : x
  2. Step 2: Convert to fraction form
    1,663.66/2,296.92 = 1,488.70/x
  3. Step 3: Cross multiply
    1,663.66x = 2,296.92 × 1,488.70
  4. Step 4: Simplify right side
    1,663.66x = 3,419,424.80
  5. Step 5: Solve for x
    x = 3,419,424.80/1,663.66
  6. Step 6: Final answer
    x = 2,055.36

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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.