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Finding the Fourth Proportional to 1,706.24, 2,356.19 and 1,614.17

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Solution

The fourth proportional to 1,706.24, 2,356.19 and 1,614.17 is: 2,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.24 : 2,356.19 = 1,614.17 : x
  2. Step 2: Convert to fraction form
    1,706.24/2,356.19 = 1,614.17/x
  3. Step 3: Cross multiply
    1,706.24x = 2,356.19 × 1,614.17
  4. Step 4: Simplify right side
    1,706.24x = 3,803,295.09
  5. Step 5: Solve for x
    x = 3,803,295.09/1,706.24
  6. Step 6: Final answer
    x = 2,229.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.