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Finding the Fourth Proportional to 1,818.92, 2,510.70 and 1,229.24

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Solution

The fourth proportional to 1,818.92, 2,510.70 and 1,229.24 is: 1,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.92 : 2,510.70 = 1,229.24 : x
  2. Step 2: Convert to fraction form
    1,818.92/2,510.70 = 1,229.24/x
  3. Step 3: Cross multiply
    1,818.92x = 2,510.70 × 1,229.24
  4. Step 4: Simplify right side
    1,818.92x = 3,086,252.87
  5. Step 5: Solve for x
    x = 3,086,252.87/1,818.92
  6. Step 6: Final answer
    x = 1,696.75

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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.