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Finding the Fourth Proportional to 3,078.78, 4,617.23 and 2,024.55

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Solution

The fourth proportional to 3,078.78, 4,617.23 and 2,024.55 is: 3,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.78 : 4,617.23 = 2,024.55 : x
  2. Step 2: Convert to fraction form
    3,078.78/4,617.23 = 2,024.55/x
  3. Step 3: Cross multiply
    3,078.78x = 4,617.23 × 2,024.55
  4. Step 4: Simplify right side
    3,078.78x = 9,347,802.87
  5. Step 5: Solve for x
    x = 9,347,802.87/3,078.78
  6. Step 6: Final answer
    x = 3,036.20

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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.