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Finding the Fourth Proportional to 1,906.07, 2,635.18 and 1,407.92

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Solution

The fourth proportional to 1,906.07, 2,635.18 and 1,407.92 is: 1,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.07 : 2,635.18 = 1,407.92 : x
  2. Step 2: Convert to fraction form
    1,906.07/2,635.18 = 1,407.92/x
  3. Step 3: Cross multiply
    1,906.07x = 2,635.18 × 1,407.92
  4. Step 4: Simplify right side
    1,906.07x = 3,710,112.97
  5. Step 5: Solve for x
    x = 3,710,112.97/1,906.07
  6. Step 6: Final answer
    x = 1,946.48

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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.