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Finding the Fourth Proportional to 2,353.68, 3,530.56 and 2,211.12

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Solution

The fourth proportional to 2,353.68, 3,530.56 and 2,211.12 is: 3,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.68 : 3,530.56 = 2,211.12 : x
  2. Step 2: Convert to fraction form
    2,353.68/3,530.56 = 2,211.12/x
  3. Step 3: Cross multiply
    2,353.68x = 3,530.56 × 2,211.12
  4. Step 4: Simplify right side
    2,353.68x = 7,806,491.83
  5. Step 5: Solve for x
    x = 7,806,491.83/2,353.68
  6. Step 6: Final answer
    x = 3,316.72

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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.