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Finding the Fourth Proportional to 3,091.96, 4,637.94 and 900.71

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Solution

The fourth proportional to 3,091.96, 4,637.94 and 900.71 is: 1,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.96 : 4,637.94 = 900.71 : x
  2. Step 2: Convert to fraction form
    3,091.96/4,637.94 = 900.71/x
  3. Step 3: Cross multiply
    3,091.96x = 4,637.94 × 900.71
  4. Step 4: Simplify right side
    3,091.96x = 4,177,438.94
  5. Step 5: Solve for x
    x = 4,177,438.94/3,091.96
  6. Step 6: Final answer
    x = 1,351.07

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Similar ratio
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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.