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Finding the Fourth Proportional to 1,390.58, 1,908.78 and 1,229.69

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Solution

The fourth proportional to 1,390.58, 1,908.78 and 1,229.69 is: 1,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.58 : 1,908.78 = 1,229.69 : x
  2. Step 2: Convert to fraction form
    1,390.58/1,908.78 = 1,229.69/x
  3. Step 3: Cross multiply
    1,390.58x = 1,908.78 × 1,229.69
  4. Step 4: Simplify right side
    1,390.58x = 2,347,205.29
  5. Step 5: Solve for x
    x = 2,347,205.29/1,390.58
  6. Step 6: Final answer
    x = 1,687.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.