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Finding the Fourth Proportional to 3,409.73, 4,706.49 and 2,480.93

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Solution

The fourth proportional to 3,409.73, 4,706.49 and 2,480.93 is: 3,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.73 : 4,706.49 = 2,480.93 : x
  2. Step 2: Convert to fraction form
    3,409.73/4,706.49 = 2,480.93/x
  3. Step 3: Cross multiply
    3,409.73x = 4,706.49 × 2,480.93
  4. Step 4: Simplify right side
    3,409.73x = 11,676,448.70
  5. Step 5: Solve for x
    x = 11,676,448.70/3,409.73
  6. Step 6: Final answer
    x = 3,424.45

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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.