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Finding the Fourth Proportional to 2,211.12, 3,315.67 and 749.68

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Solution

The fourth proportional to 2,211.12, 3,315.67 and 749.68 is: 1,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.12 : 3,315.67 = 749.68 : x
  2. Step 2: Convert to fraction form
    2,211.12/3,315.67 = 749.68/x
  3. Step 3: Cross multiply
    2,211.12x = 3,315.67 × 749.68
  4. Step 4: Simplify right side
    2,211.12x = 2,485,681.32
  5. Step 5: Solve for x
    x = 2,485,681.32/2,211.12
  6. Step 6: Final answer
    x = 1,124.17

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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.