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Finding the Fourth Proportional to 2,129.02, 3,194.06 and 1,252.26

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Solution

The fourth proportional to 2,129.02, 3,194.06 and 1,252.26 is: 1,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.02 : 3,194.06 = 1,252.26 : x
  2. Step 2: Convert to fraction form
    2,129.02/3,194.06 = 1,252.26/x
  3. Step 3: Cross multiply
    2,129.02x = 3,194.06 × 1,252.26
  4. Step 4: Simplify right side
    2,129.02x = 3,999,793.58
  5. Step 5: Solve for x
    x = 3,999,793.58/2,129.02
  6. Step 6: Final answer
    x = 1,878.70

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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.