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Finding the Fourth Proportional to 3,297.86, 4,548.95 and 2,302.78

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Solution

The fourth proportional to 3,297.86, 4,548.95 and 2,302.78 is: 3,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.86 : 4,548.95 = 2,302.78 : x
  2. Step 2: Convert to fraction form
    3,297.86/4,548.95 = 2,302.78/x
  3. Step 3: Cross multiply
    3,297.86x = 4,548.95 × 2,302.78
  4. Step 4: Simplify right side
    3,297.86x = 10,475,196.82
  5. Step 5: Solve for x
    x = 10,475,196.82/3,297.86
  6. Step 6: Final answer
    x = 3,176.36

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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.