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Finding the Fourth Proportional to 2,637.40, 3,956.64 and 906.16

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Solution

The fourth proportional to 2,637.40, 3,956.64 and 906.16 is: 1,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.40 : 3,956.64 = 906.16 : x
  2. Step 2: Convert to fraction form
    2,637.40/3,956.64 = 906.16/x
  3. Step 3: Cross multiply
    2,637.40x = 3,956.64 × 906.16
  4. Step 4: Simplify right side
    2,637.40x = 3,585,348.90
  5. Step 5: Solve for x
    x = 3,585,348.90/2,637.40
  6. Step 6: Final answer
    x = 1,359.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.