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Finding the Fourth Proportional to 3,005.78, 4,508.76 and 2,180.12

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Solution

The fourth proportional to 3,005.78, 4,508.76 and 2,180.12 is: 3,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.78 : 4,508.76 = 2,180.12 : x
  2. Step 2: Convert to fraction form
    3,005.78/4,508.76 = 2,180.12/x
  3. Step 3: Cross multiply
    3,005.78x = 4,508.76 × 2,180.12
  4. Step 4: Simplify right side
    3,005.78x = 9,829,637.85
  5. Step 5: Solve for x
    x = 9,829,637.85/3,005.78
  6. Step 6: Final answer
    x = 3,270.25

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