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Finding the Fourth Proportional to 2,174.74, 3,235.94 and 2,167.45

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Solution

The fourth proportional to 2,174.74, 3,235.94 and 2,167.45 is: 3,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.74 : 3,235.94 = 2,167.45 : x
  2. Step 2: Convert to fraction form
    2,174.74/3,235.94 = 2,167.45/x
  3. Step 3: Cross multiply
    2,174.74x = 3,235.94 × 2,167.45
  4. Step 4: Simplify right side
    2,174.74x = 7,013,738.15
  5. Step 5: Solve for x
    x = 7,013,738.15/2,174.74
  6. Step 6: Final answer
    x = 3,225.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.