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Finding the Fourth Proportional to 2,331.95, 3,497.93 and 2,189.39

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Solution

The fourth proportional to 2,331.95, 3,497.93 and 2,189.39 is: 3,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.95 : 3,497.93 = 2,189.39 : x
  2. Step 2: Convert to fraction form
    2,331.95/3,497.93 = 2,189.39/x
  3. Step 3: Cross multiply
    2,331.95x = 3,497.93 × 2,189.39
  4. Step 4: Simplify right side
    2,331.95x = 7,658,304.53
  5. Step 5: Solve for x
    x = 7,658,304.53/2,331.95
  6. Step 6: Final answer
    x = 3,284.08

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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.