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Finding the Fourth Proportional to 2,294.69, 3,418.34 and 2,188.98

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Solution

The fourth proportional to 2,294.69, 3,418.34 and 2,188.98 is: 3,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.69 : 3,418.34 = 2,188.98 : x
  2. Step 2: Convert to fraction form
    2,294.69/3,418.34 = 2,188.98/x
  3. Step 3: Cross multiply
    2,294.69x = 3,418.34 × 2,188.98
  4. Step 4: Simplify right side
    2,294.69x = 7,482,666.95
  5. Step 5: Solve for x
    x = 7,482,666.95/2,294.69
  6. Step 6: Final answer
    x = 3,260.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.