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Finding the Fourth Proportional to 1,945.40, 2,678.80 and 1,663.52

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Solution

The fourth proportional to 1,945.40, 2,678.80 and 1,663.52 is: 2,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.40 : 2,678.80 = 1,663.52 : x
  2. Step 2: Convert to fraction form
    1,945.40/2,678.80 = 1,663.52/x
  3. Step 3: Cross multiply
    1,945.40x = 2,678.80 × 1,663.52
  4. Step 4: Simplify right side
    1,945.40x = 4,456,237.38
  5. Step 5: Solve for x
    x = 4,456,237.38/1,945.40
  6. Step 6: Final answer
    x = 2,290.65

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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.