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Finding the Fourth Proportional to 2,756.82, 3,804.21 and 1,823.70

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Solution

The fourth proportional to 2,756.82, 3,804.21 and 1,823.70 is: 2,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.82 : 3,804.21 = 1,823.70 : x
  2. Step 2: Convert to fraction form
    2,756.82/3,804.21 = 1,823.70/x
  3. Step 3: Cross multiply
    2,756.82x = 3,804.21 × 1,823.70
  4. Step 4: Simplify right side
    2,756.82x = 6,937,737.78
  5. Step 5: Solve for x
    x = 6,937,737.78/2,756.82
  6. Step 6: Final answer
    x = 2,516.57

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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.