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Finding the Fourth Proportional to 1,805.71, 2,706.71 and 694.83

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Solution

The fourth proportional to 1,805.71, 2,706.71 and 694.83 is: 1,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.71 : 2,706.71 = 694.83 : x
  2. Step 2: Convert to fraction form
    1,805.71/2,706.71 = 694.83/x
  3. Step 3: Cross multiply
    1,805.71x = 2,706.71 × 694.83
  4. Step 4: Simplify right side
    1,805.71x = 1,880,686.30
  5. Step 5: Solve for x
    x = 1,880,686.30/1,805.71
  6. Step 6: Final answer
    x = 1,041.52

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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.