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Finding the Fourth Proportional to 3,409.65, 4,703.81 and 2,083.95

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Solution

The fourth proportional to 3,409.65, 4,703.81 and 2,083.95 is: 2,874.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.65 : 4,703.81 = 2,083.95 : x
  2. Step 2: Convert to fraction form
    3,409.65/4,703.81 = 2,083.95/x
  3. Step 3: Cross multiply
    3,409.65x = 4,703.81 × 2,083.95
  4. Step 4: Simplify right side
    3,409.65x = 9,802,494.43
  5. Step 5: Solve for x
    x = 9,802,494.43/3,409.65
  6. Step 6: Final answer
    x = 2,874.93

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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.