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Finding the Fourth Proportional to 3,342.69, 4,616.40 and 2,285.33

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Solution

The fourth proportional to 3,342.69, 4,616.40 and 2,285.33 is: 3,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.69 : 4,616.40 = 2,285.33 : x
  2. Step 2: Convert to fraction form
    3,342.69/4,616.40 = 2,285.33/x
  3. Step 3: Cross multiply
    3,342.69x = 4,616.40 × 2,285.33
  4. Step 4: Simplify right side
    3,342.69x = 10,549,974.33
  5. Step 5: Solve for x
    x = 10,549,974.33/3,342.69
  6. Step 6: Final answer
    x = 3,156.13

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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.