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Finding the Fourth Proportional to 2,638.16, 3,957.72 and 906.36

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Solution

The fourth proportional to 2,638.16, 3,957.72 and 906.36 is: 1,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.16 : 3,957.72 = 906.36 : x
  2. Step 2: Convert to fraction form
    2,638.16/3,957.72 = 906.36/x
  3. Step 3: Cross multiply
    2,638.16x = 3,957.72 × 906.36
  4. Step 4: Simplify right side
    2,638.16x = 3,587,119.10
  5. Step 5: Solve for x
    x = 3,587,119.10/2,638.16
  6. Step 6: Final answer
    x = 1,359.70

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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.