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Finding the Fourth Proportional to 2,784.77, 3,834.24 and 2,364.29

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Solution

The fourth proportional to 2,784.77, 3,834.24 and 2,364.29 is: 3,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.77 : 3,834.24 = 2,364.29 : x
  2. Step 2: Convert to fraction form
    2,784.77/3,834.24 = 2,364.29/x
  3. Step 3: Cross multiply
    2,784.77x = 3,834.24 × 2,364.29
  4. Step 4: Simplify right side
    2,784.77x = 9,065,255.29
  5. Step 5: Solve for x
    x = 9,065,255.29/2,784.77
  6. Step 6: Final answer
    x = 3,255.30

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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.