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Finding the Fourth Proportional to 2,151.95, 3,228.22 and 690.75

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Solution

The fourth proportional to 2,151.95, 3,228.22 and 690.75 is: 1,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.95 : 3,228.22 = 690.75 : x
  2. Step 2: Convert to fraction form
    2,151.95/3,228.22 = 690.75/x
  3. Step 3: Cross multiply
    2,151.95x = 3,228.22 × 690.75
  4. Step 4: Simplify right side
    2,151.95x = 2,229,893.83
  5. Step 5: Solve for x
    x = 2,229,893.83/2,151.95
  6. Step 6: Final answer
    x = 1,036.22

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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.