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Finding the Fourth Proportional to 2,276.67, 3,434.07 and 2,141.82

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Solution

The fourth proportional to 2,276.67, 3,434.07 and 2,141.82 is: 3,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.67 : 3,434.07 = 2,141.82 : x
  2. Step 2: Convert to fraction form
    2,276.67/3,434.07 = 2,141.82/x
  3. Step 3: Cross multiply
    2,276.67x = 3,434.07 × 2,141.82
  4. Step 4: Simplify right side
    2,276.67x = 7,355,159.81
  5. Step 5: Solve for x
    x = 7,355,159.81/2,276.67
  6. Step 6: Final answer
    x = 3,230.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.