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Finding the Fourth Proportional to 1,840.39, 2,760.59 and 453.71

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Solution

The fourth proportional to 1,840.39, 2,760.59 and 453.71 is: 680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.39 : 2,760.59 = 453.71 : x
  2. Step 2: Convert to fraction form
    1,840.39/2,760.59 = 453.71/x
  3. Step 3: Cross multiply
    1,840.39x = 2,760.59 × 453.71
  4. Step 4: Simplify right side
    1,840.39x = 1,252,505.02
  5. Step 5: Solve for x
    x = 1,252,505.02/1,840.39
  6. Step 6: Final answer
    x = 680.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.