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Finding the Fourth Proportional to 2,784.57, 3,844.13 and 2,153.72

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Solution

The fourth proportional to 2,784.57, 3,844.13 and 2,153.72 is: 2,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.57 : 3,844.13 = 2,153.72 : x
  2. Step 2: Convert to fraction form
    2,784.57/3,844.13 = 2,153.72/x
  3. Step 3: Cross multiply
    2,784.57x = 3,844.13 × 2,153.72
  4. Step 4: Simplify right side
    2,784.57x = 8,279,149.67
  5. Step 5: Solve for x
    x = 8,279,149.67/2,784.57
  6. Step 6: Final answer
    x = 2,973.22

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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.