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Finding the Fourth Proportional to 3,203.98, 4,805.79 and 1,124.08

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Solution

The fourth proportional to 3,203.98, 4,805.79 and 1,124.08 is: 1,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.98 : 4,805.79 = 1,124.08 : x
  2. Step 2: Convert to fraction form
    3,203.98/4,805.79 = 1,124.08/x
  3. Step 3: Cross multiply
    3,203.98x = 4,805.79 × 1,124.08
  4. Step 4: Simplify right side
    3,203.98x = 5,402,092.42
  5. Step 5: Solve for x
    x = 5,402,092.42/3,203.98
  6. Step 6: Final answer
    x = 1,686.06

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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.