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Finding the Fourth Proportional to 1,806.19, 2,710.83 and 711.33

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Solution

The fourth proportional to 1,806.19, 2,710.83 and 711.33 is: 1,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.19 : 2,710.83 = 711.33 : x
  2. Step 2: Convert to fraction form
    1,806.19/2,710.83 = 711.33/x
  3. Step 3: Cross multiply
    1,806.19x = 2,710.83 × 711.33
  4. Step 4: Simplify right side
    1,806.19x = 1,928,285.34
  5. Step 5: Solve for x
    x = 1,928,285.34/1,806.19
  6. Step 6: Final answer
    x = 1,067.60

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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.