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Finding the Fourth Proportional to 1,706.91, 2,561.51 and 733.25

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Solution

The fourth proportional to 1,706.91, 2,561.51 and 733.25 is: 1,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.91 : 2,561.51 = 733.25 : x
  2. Step 2: Convert to fraction form
    1,706.91/2,561.51 = 733.25/x
  3. Step 3: Cross multiply
    1,706.91x = 2,561.51 × 733.25
  4. Step 4: Simplify right side
    1,706.91x = 1,878,210.73
  5. Step 5: Solve for x
    x = 1,878,210.73/1,706.91
  6. Step 6: Final answer
    x = 1,100.36

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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.