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Finding the Fourth Proportional to 2,215.76, 3,322.81 and 734.71

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Solution

The fourth proportional to 2,215.76, 3,322.81 and 734.71 is: 1,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.76 : 3,322.81 = 734.71 : x
  2. Step 2: Convert to fraction form
    2,215.76/3,322.81 = 734.71/x
  3. Step 3: Cross multiply
    2,215.76x = 3,322.81 × 734.71
  4. Step 4: Simplify right side
    2,215.76x = 2,441,303.57
  5. Step 5: Solve for x
    x = 2,441,303.57/2,215.76
  6. Step 6: Final answer
    x = 1,101.79

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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.