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Finding the Fourth Proportional to 2,253.92, 3,107.04 and 1,506.56

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Solution

The fourth proportional to 2,253.92, 3,107.04 and 1,506.56 is: 2,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.92 : 3,107.04 = 1,506.56 : x
  2. Step 2: Convert to fraction form
    2,253.92/3,107.04 = 1,506.56/x
  3. Step 3: Cross multiply
    2,253.92x = 3,107.04 × 1,506.56
  4. Step 4: Simplify right side
    2,253.92x = 4,680,942.18
  5. Step 5: Solve for x
    x = 4,680,942.18/2,253.92
  6. Step 6: Final answer
    x = 2,076.80

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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.