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Finding the Fourth Proportional to 2,174.70, 3,246.14 and 1,868.52

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Solution

The fourth proportional to 2,174.70, 3,246.14 and 1,868.52 is: 2,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.70 : 3,246.14 = 1,868.52 : x
  2. Step 2: Convert to fraction form
    2,174.70/3,246.14 = 1,868.52/x
  3. Step 3: Cross multiply
    2,174.70x = 3,246.14 × 1,868.52
  4. Step 4: Simplify right side
    2,174.70x = 6,065,468.17
  5. Step 5: Solve for x
    x = 6,065,468.17/2,174.70
  6. Step 6: Final answer
    x = 2,789.11

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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.