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Finding the Fourth Proportional to 3,400.70, 4,691.76 and 2,222.45

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Solution

The fourth proportional to 3,400.70, 4,691.76 and 2,222.45 is: 3,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.70 : 4,691.76 = 2,222.45 : x
  2. Step 2: Convert to fraction form
    3,400.70/4,691.76 = 2,222.45/x
  3. Step 3: Cross multiply
    3,400.70x = 4,691.76 × 2,222.45
  4. Step 4: Simplify right side
    3,400.70x = 10,427,187.81
  5. Step 5: Solve for x
    x = 10,427,187.81/3,400.70
  6. Step 6: Final answer
    x = 3,066.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.