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Finding the Fourth Proportional to 2,756.25, 3,806.87 and 1,823.13

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Solution

The fourth proportional to 2,756.25, 3,806.87 and 1,823.13 is: 2,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.25 : 3,806.87 = 1,823.13 : x
  2. Step 2: Convert to fraction form
    2,756.25/3,806.87 = 1,823.13/x
  3. Step 3: Cross multiply
    2,756.25x = 3,806.87 × 1,823.13
  4. Step 4: Simplify right side
    2,756.25x = 6,940,409.79
  5. Step 5: Solve for x
    x = 6,940,409.79/2,756.25
  6. Step 6: Final answer
    x = 2,518.06

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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.