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Finding the Fourth Proportional to 1,706.77, 2,355.39 and 1,043.61

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Solution

The fourth proportional to 1,706.77, 2,355.39 and 1,043.61 is: 1,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.77 : 2,355.39 = 1,043.61 : x
  2. Step 2: Convert to fraction form
    1,706.77/2,355.39 = 1,043.61/x
  3. Step 3: Cross multiply
    1,706.77x = 2,355.39 × 1,043.61
  4. Step 4: Simplify right side
    1,706.77x = 2,458,108.56
  5. Step 5: Solve for x
    x = 2,458,108.56/1,706.77
  6. Step 6: Final answer
    x = 1,440.21

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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.