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Finding the Fourth Proportional to 2,637.70, 3,956.46 and 906.32

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Solution

The fourth proportional to 2,637.70, 3,956.46 and 906.32 is: 1,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.70 : 3,956.46 = 906.32 : x
  2. Step 2: Convert to fraction form
    2,637.70/3,956.46 = 906.32/x
  3. Step 3: Cross multiply
    2,637.70x = 3,956.46 × 906.32
  4. Step 4: Simplify right side
    2,637.70x = 3,585,818.83
  5. Step 5: Solve for x
    x = 3,585,818.83/2,637.70
  6. Step 6: Final answer
    x = 1,359.45

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1.5x scale

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.