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Finding the Fourth Proportional to 2,174.64, 3,238.72 and 2,098.08

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Solution

The fourth proportional to 2,174.64, 3,238.72 and 2,098.08 is: 3,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.64 : 3,238.72 = 2,098.08 : x
  2. Step 2: Convert to fraction form
    2,174.64/3,238.72 = 2,098.08/x
  3. Step 3: Cross multiply
    2,174.64x = 3,238.72 × 2,098.08
  4. Step 4: Simplify right side
    2,174.64x = 6,795,093.66
  5. Step 5: Solve for x
    x = 6,795,093.66/2,174.64
  6. Step 6: Final answer
    x = 3,124.70

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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.