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Finding the Fourth Proportional to 2,131.52, 2,940.47 and 1,385.71

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Solution

The fourth proportional to 2,131.52, 2,940.47 and 1,385.71 is: 1,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.52 : 2,940.47 = 1,385.71 : x
  2. Step 2: Convert to fraction form
    2,131.52/2,940.47 = 1,385.71/x
  3. Step 3: Cross multiply
    2,131.52x = 2,940.47 × 1,385.71
  4. Step 4: Simplify right side
    2,131.52x = 4,074,629.60
  5. Step 5: Solve for x
    x = 4,074,629.60/2,131.52
  6. Step 6: Final answer
    x = 1,911.61

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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.