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Finding the Fourth Proportional to 3,294.96, 4,548.69 and 1,897.44

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Solution

The fourth proportional to 3,294.96, 4,548.69 and 1,897.44 is: 2,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.96 : 4,548.69 = 1,897.44 : x
  2. Step 2: Convert to fraction form
    3,294.96/4,548.69 = 1,897.44/x
  3. Step 3: Cross multiply
    3,294.96x = 4,548.69 × 1,897.44
  4. Step 4: Simplify right side
    3,294.96x = 8,630,866.35
  5. Step 5: Solve for x
    x = 8,630,866.35/3,294.96
  6. Step 6: Final answer
    x = 2,619.41

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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.