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Finding the Fourth Proportional to 3,084.57, 4,256.15 and 1,825

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Solution

The fourth proportional to 3,084.57, 4,256.15 and 1,825 is: 2,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.57 : 4,256.15 = 1,825 : x
  2. Step 2: Convert to fraction form
    3,084.57/4,256.15 = 1,825/x
  3. Step 3: Cross multiply
    3,084.57x = 4,256.15 × 1,825
  4. Step 4: Simplify right side
    3,084.57x = 7,767,473.75
  5. Step 5: Solve for x
    x = 7,767,473.75/3,084.57
  6. Step 6: Final answer
    x = 2,518.17

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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.