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Finding the Fourth Proportional to 2,121.74, 3,182.93 and 1,026.17

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Solution

The fourth proportional to 2,121.74, 3,182.93 and 1,026.17 is: 1,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.74 : 3,182.93 = 1,026.17 : x
  2. Step 2: Convert to fraction form
    2,121.74/3,182.93 = 1,026.17/x
  3. Step 3: Cross multiply
    2,121.74x = 3,182.93 × 1,026.17
  4. Step 4: Simplify right side
    2,121.74x = 3,266,237.80
  5. Step 5: Solve for x
    x = 3,266,237.80/2,121.74
  6. Step 6: Final answer
    x = 1,539.42

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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.