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Finding the Fourth Proportional to 2,225.84, 3,337.85 and 992.41

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Solution

The fourth proportional to 2,225.84, 3,337.85 and 992.41 is: 1,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.84 : 3,337.85 = 992.41 : x
  2. Step 2: Convert to fraction form
    2,225.84/3,337.85 = 992.41/x
  3. Step 3: Cross multiply
    2,225.84x = 3,337.85 × 992.41
  4. Step 4: Simplify right side
    2,225.84x = 3,312,501.96
  5. Step 5: Solve for x
    x = 3,312,501.96/2,225.84
  6. Step 6: Final answer
    x = 1,488.20

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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.