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Finding the Fourth Proportional to 2,663.04, 3,994.56 and 2,047.86

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Solution

The fourth proportional to 2,663.04, 3,994.56 and 2,047.86 is: 3,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.04 : 3,994.56 = 2,047.86 : x
  2. Step 2: Convert to fraction form
    2,663.04/3,994.56 = 2,047.86/x
  3. Step 3: Cross multiply
    2,663.04x = 3,994.56 × 2,047.86
  4. Step 4: Simplify right side
    2,663.04x = 8,180,299.64
  5. Step 5: Solve for x
    x = 8,180,299.64/2,663.04
  6. Step 6: Final answer
    x = 3,071.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.