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Finding the Fourth Proportional to 2,124.90, 3,188.03 and 1,349.73

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Solution

The fourth proportional to 2,124.90, 3,188.03 and 1,349.73 is: 2,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.90 : 3,188.03 = 1,349.73 : x
  2. Step 2: Convert to fraction form
    2,124.90/3,188.03 = 1,349.73/x
  3. Step 3: Cross multiply
    2,124.90x = 3,188.03 × 1,349.73
  4. Step 4: Simplify right side
    2,124.90x = 4,302,972.98
  5. Step 5: Solve for x
    x = 4,302,972.98/2,124.90
  6. Step 6: Final answer
    x = 2,025.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.