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Finding the Fourth Proportional to 2,225.12, 3,337.29 and 744.17

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Solution

The fourth proportional to 2,225.12, 3,337.29 and 744.17 is: 1,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.12 : 3,337.29 = 744.17 : x
  2. Step 2: Convert to fraction form
    2,225.12/3,337.29 = 744.17/x
  3. Step 3: Cross multiply
    2,225.12x = 3,337.29 × 744.17
  4. Step 4: Simplify right side
    2,225.12x = 2,483,494.41
  5. Step 5: Solve for x
    x = 2,483,494.41/2,225.12
  6. Step 6: Final answer
    x = 1,116.12

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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.