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Finding the Fourth Proportional to 2,225.76, 3,338.24 and 992.94

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Solution

The fourth proportional to 2,225.76, 3,338.24 and 992.94 is: 1,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.76 : 3,338.24 = 992.94 : x
  2. Step 2: Convert to fraction form
    2,225.76/3,338.24 = 992.94/x
  3. Step 3: Cross multiply
    2,225.76x = 3,338.24 × 992.94
  4. Step 4: Simplify right side
    2,225.76x = 3,314,667.06
  5. Step 5: Solve for x
    x = 3,314,667.06/2,225.76
  6. Step 6: Final answer
    x = 1,489.23

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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.