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Finding the Fourth Proportional to 2,064.02, 2,848.17 and 1,179.63

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Solution

The fourth proportional to 2,064.02, 2,848.17 and 1,179.63 is: 1,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.02 : 2,848.17 = 1,179.63 : x
  2. Step 2: Convert to fraction form
    2,064.02/2,848.17 = 1,179.63/x
  3. Step 3: Cross multiply
    2,064.02x = 2,848.17 × 1,179.63
  4. Step 4: Simplify right side
    2,064.02x = 3,359,786.78
  5. Step 5: Solve for x
    x = 3,359,786.78/2,064.02
  6. Step 6: Final answer
    x = 1,627.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.