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Finding the Fourth Proportional to 3,106.98, 4,288.50 and 1,927.38

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Solution

The fourth proportional to 3,106.98, 4,288.50 and 1,927.38 is: 2,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.98 : 4,288.50 = 1,927.38 : x
  2. Step 2: Convert to fraction form
    3,106.98/4,288.50 = 1,927.38/x
  3. Step 3: Cross multiply
    3,106.98x = 4,288.50 × 1,927.38
  4. Step 4: Simplify right side
    3,106.98x = 8,265,569.13
  5. Step 5: Solve for x
    x = 8,265,569.13/3,106.98
  6. Step 6: Final answer
    x = 2,660.32

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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.