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Finding the Fourth Proportional to 2,263.67, 3,390.02 and 1,150.16

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Solution

The fourth proportional to 2,263.67, 3,390.02 and 1,150.16 is: 1,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.67 : 3,390.02 = 1,150.16 : x
  2. Step 2: Convert to fraction form
    2,263.67/3,390.02 = 1,150.16/x
  3. Step 3: Cross multiply
    2,263.67x = 3,390.02 × 1,150.16
  4. Step 4: Simplify right side
    2,263.67x = 3,899,059.78
  5. Step 5: Solve for x
    x = 3,899,059.78/2,263.67
  6. Step 6: Final answer
    x = 1,722.45

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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.