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Finding the Fourth Proportional to 1,509.71, 2,083.47 and 949.97

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Solution

The fourth proportional to 1,509.71, 2,083.47 and 949.97 is: 1,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.71 : 2,083.47 = 949.97 : x
  2. Step 2: Convert to fraction form
    1,509.71/2,083.47 = 949.97/x
  3. Step 3: Cross multiply
    1,509.71x = 2,083.47 × 949.97
  4. Step 4: Simplify right side
    1,509.71x = 1,979,234.00
  5. Step 5: Solve for x
    x = 1,979,234.00/1,509.71
  6. Step 6: Final answer
    x = 1,311.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.