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Finding the Fourth Proportional to 2,706.16, 4,039.67 and 2,503.25

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Solution

The fourth proportional to 2,706.16, 4,039.67 and 2,503.25 is: 3,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.16 : 4,039.67 = 2,503.25 : x
  2. Step 2: Convert to fraction form
    2,706.16/4,039.67 = 2,503.25/x
  3. Step 3: Cross multiply
    2,706.16x = 4,039.67 × 2,503.25
  4. Step 4: Simplify right side
    2,706.16x = 10,112,327.86
  5. Step 5: Solve for x
    x = 10,112,327.86/2,706.16
  6. Step 6: Final answer
    x = 3,736.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.