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Finding the Fourth Proportional to 2,084.92, 3,125.32 and 1,159.99

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Solution

The fourth proportional to 2,084.92, 3,125.32 and 1,159.99 is: 1,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.92 : 3,125.32 = 1,159.99 : x
  2. Step 2: Convert to fraction form
    2,084.92/3,125.32 = 1,159.99/x
  3. Step 3: Cross multiply
    2,084.92x = 3,125.32 × 1,159.99
  4. Step 4: Simplify right side
    2,084.92x = 3,625,329.23
  5. Step 5: Solve for x
    x = 3,625,329.23/2,084.92
  6. Step 6: Final answer
    x = 1,738.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.