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Finding the Fourth Proportional to 3,294.86, 4,546.23 and 1,897.34

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Solution

The fourth proportional to 3,294.86, 4,546.23 and 1,897.34 is: 2,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.86 : 4,546.23 = 1,897.34 : x
  2. Step 2: Convert to fraction form
    3,294.86/4,546.23 = 1,897.34/x
  3. Step 3: Cross multiply
    3,294.86x = 4,546.23 × 1,897.34
  4. Step 4: Simplify right side
    3,294.86x = 8,625,744.03
  5. Step 5: Solve for x
    x = 8,625,744.03/3,294.86
  6. Step 6: Final answer
    x = 2,617.94

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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.