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Finding the Fourth Proportional to 3,297.52, 4,946.10 and 832.34

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Solution

The fourth proportional to 3,297.52, 4,946.10 and 832.34 is: 1,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.52 : 4,946.10 = 832.34 : x
  2. Step 2: Convert to fraction form
    3,297.52/4,946.10 = 832.34/x
  3. Step 3: Cross multiply
    3,297.52x = 4,946.10 × 832.34
  4. Step 4: Simplify right side
    3,297.52x = 4,116,836.87
  5. Step 5: Solve for x
    x = 4,116,836.87/3,297.52
  6. Step 6: Final answer
    x = 1,248.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.