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Finding the Fourth Proportional to 2,126.97, 3,187.94 and 1,202.94

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Solution

The fourth proportional to 2,126.97, 3,187.94 and 1,202.94 is: 1,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.97 : 3,187.94 = 1,202.94 : x
  2. Step 2: Convert to fraction form
    2,126.97/3,187.94 = 1,202.94/x
  3. Step 3: Cross multiply
    2,126.97x = 3,187.94 × 1,202.94
  4. Step 4: Simplify right side
    2,126.97x = 3,834,894.53
  5. Step 5: Solve for x
    x = 3,834,894.53/2,126.97
  6. Step 6: Final answer
    x = 1,802.98

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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.