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Finding the Fourth Proportional to 1,940.90, 2,677.30 and 1,409.15

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Solution

The fourth proportional to 1,940.90, 2,677.30 and 1,409.15 is: 1,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.90 : 2,677.30 = 1,409.15 : x
  2. Step 2: Convert to fraction form
    1,940.90/2,677.30 = 1,409.15/x
  3. Step 3: Cross multiply
    1,940.90x = 2,677.30 × 1,409.15
  4. Step 4: Simplify right side
    1,940.90x = 3,772,720.47
  5. Step 5: Solve for x
    x = 3,772,720.47/1,940.90
  6. Step 6: Final answer
    x = 1,943.80

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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.