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Finding the Fourth Proportional to 2,768.40, 4,155.60 and 2,462.22

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Solution

The fourth proportional to 2,768.40, 4,155.60 and 2,462.22 is: 3,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.40 : 4,155.60 = 2,462.22 : x
  2. Step 2: Convert to fraction form
    2,768.40/4,155.60 = 2,462.22/x
  3. Step 3: Cross multiply
    2,768.40x = 4,155.60 × 2,462.22
  4. Step 4: Simplify right side
    2,768.40x = 10,232,001.43
  5. Step 5: Solve for x
    x = 10,232,001.43/2,768.40
  6. Step 6: Final answer
    x = 3,696.00

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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.