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Finding the Fourth Proportional to 1,806.77, 2,711.07 and 711.92

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Solution

The fourth proportional to 1,806.77, 2,711.07 and 711.92 is: 1,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.77 : 2,711.07 = 711.92 : x
  2. Step 2: Convert to fraction form
    1,806.77/2,711.07 = 711.92/x
  3. Step 3: Cross multiply
    1,806.77x = 2,711.07 × 711.92
  4. Step 4: Simplify right side
    1,806.77x = 1,930,071.73
  5. Step 5: Solve for x
    x = 1,930,071.73/1,806.77
  6. Step 6: Final answer
    x = 1,068.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.