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Finding the Fourth Proportional to 2,211.04, 3,316.85 and 749.80

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Solution

The fourth proportional to 2,211.04, 3,316.85 and 749.80 is: 1,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.04 : 3,316.85 = 749.80 : x
  2. Step 2: Convert to fraction form
    2,211.04/3,316.85 = 749.80/x
  3. Step 3: Cross multiply
    2,211.04x = 3,316.85 × 749.80
  4. Step 4: Simplify right side
    2,211.04x = 2,486,953.80
  5. Step 5: Solve for x
    x = 2,486,953.80/2,211.04
  6. Step 6: Final answer
    x = 1,124.79

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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.