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Finding the Fourth Proportional to 2,654.74, 3,663.11 and 1,475.78

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Solution

The fourth proportional to 2,654.74, 3,663.11 and 1,475.78 is: 2,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.74 : 3,663.11 = 1,475.78 : x
  2. Step 2: Convert to fraction form
    2,654.74/3,663.11 = 1,475.78/x
  3. Step 3: Cross multiply
    2,654.74x = 3,663.11 × 1,475.78
  4. Step 4: Simplify right side
    2,654.74x = 5,405,944.48
  5. Step 5: Solve for x
    x = 5,405,944.48/2,654.74
  6. Step 6: Final answer
    x = 2,036.34

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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.