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Finding the Fourth Proportional to 2,188.31, 3,019.93 and 1,193.69

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Solution

The fourth proportional to 2,188.31, 3,019.93 and 1,193.69 is: 1,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.31 : 3,019.93 = 1,193.69 : x
  2. Step 2: Convert to fraction form
    2,188.31/3,019.93 = 1,193.69/x
  3. Step 3: Cross multiply
    2,188.31x = 3,019.93 × 1,193.69
  4. Step 4: Simplify right side
    2,188.31x = 3,604,839.17
  5. Step 5: Solve for x
    x = 3,604,839.17/2,188.31
  6. Step 6: Final answer
    x = 1,647.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.