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Finding the Fourth Proportional to 2,762.04, 4,138.74 and 2,414.28

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Solution

The fourth proportional to 2,762.04, 4,138.74 and 2,414.28 is: 3,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.04 : 4,138.74 = 2,414.28 : x
  2. Step 2: Convert to fraction form
    2,762.04/4,138.74 = 2,414.28/x
  3. Step 3: Cross multiply
    2,762.04x = 4,138.74 × 2,414.28
  4. Step 4: Simplify right side
    2,762.04x = 9,992,077.21
  5. Step 5: Solve for x
    x = 9,992,077.21/2,762.04
  6. Step 6: Final answer
    x = 3,617.64

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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.