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Finding the Fourth Proportional to 2,211.60, 3,317.76 and 750.84

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Solution

The fourth proportional to 2,211.60, 3,317.76 and 750.84 is: 1,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.60 : 3,317.76 = 750.84 : x
  2. Step 2: Convert to fraction form
    2,211.60/3,317.76 = 750.84/x
  3. Step 3: Cross multiply
    2,211.60x = 3,317.76 × 750.84
  4. Step 4: Simplify right side
    2,211.60x = 2,491,106.92
  5. Step 5: Solve for x
    x = 2,491,106.92/2,211.60
  6. Step 6: Final answer
    x = 1,126.38

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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.