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Finding the Fourth Proportional to 1,390.92, 1,906.64 and 1,366.08

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Solution

The fourth proportional to 1,390.92, 1,906.64 and 1,366.08 is: 1,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.92 : 1,906.64 = 1,366.08 : x
  2. Step 2: Convert to fraction form
    1,390.92/1,906.64 = 1,366.08/x
  3. Step 3: Cross multiply
    1,390.92x = 1,906.64 × 1,366.08
  4. Step 4: Simplify right side
    1,390.92x = 2,604,615.94
  5. Step 5: Solve for x
    x = 2,604,615.94/1,390.92
  6. Step 6: Final answer
    x = 1,872.59

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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.