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Finding the Fourth Proportional to 1,889.37, 2,834.05 and 502.71

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Solution

The fourth proportional to 1,889.37, 2,834.05 and 502.71 is: 754.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.37 : 2,834.05 = 502.71 : x
  2. Step 2: Convert to fraction form
    1,889.37/2,834.05 = 502.71/x
  3. Step 3: Cross multiply
    1,889.37x = 2,834.05 × 502.71
  4. Step 4: Simplify right side
    1,889.37x = 1,424,695.59
  5. Step 5: Solve for x
    x = 1,424,695.59/1,889.37
  6. Step 6: Final answer
    x = 754.06

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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.