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Finding the Fourth Proportional to 2,226.78, 3,337.76 and 992.50

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Solution

The fourth proportional to 2,226.78, 3,337.76 and 992.50 is: 1,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.78 : 3,337.76 = 992.50 : x
  2. Step 2: Convert to fraction form
    2,226.78/3,337.76 = 992.50/x
  3. Step 3: Cross multiply
    2,226.78x = 3,337.76 × 992.50
  4. Step 4: Simplify right side
    2,226.78x = 3,312,720.94
  5. Step 5: Solve for x
    x = 3,312,720.94/2,226.78
  6. Step 6: Final answer
    x = 1,487.67

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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.