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Finding the Fourth Proportional to 3,192.48, 4,788.98 and 883.98

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Solution

The fourth proportional to 3,192.48, 4,788.98 and 883.98 is: 1,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.48 : 4,788.98 = 883.98 : x
  2. Step 2: Convert to fraction form
    3,192.48/4,788.98 = 883.98/x
  3. Step 3: Cross multiply
    3,192.48x = 4,788.98 × 883.98
  4. Step 4: Simplify right side
    3,192.48x = 4,233,362.54
  5. Step 5: Solve for x
    x = 4,233,362.54/3,192.48
  6. Step 6: Final answer
    x = 1,326.04

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Why These Related Problems?

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