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Finding the Fourth Proportional to 2,225.57, 3,337.94 and 992.75

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Solution

The fourth proportional to 2,225.57, 3,337.94 and 992.75 is: 1,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.57 : 3,337.94 = 992.75 : x
  2. Step 2: Convert to fraction form
    2,225.57/3,337.94 = 992.75/x
  3. Step 3: Cross multiply
    2,225.57x = 3,337.94 × 992.75
  4. Step 4: Simplify right side
    2,225.57x = 3,313,750.76
  5. Step 5: Solve for x
    x = 3,313,750.76/2,225.57
  6. Step 6: Final answer
    x = 1,488.94

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