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Finding the Fourth Proportional to 1,940.80, 2,678.10 and 1,154.74

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Solution

The fourth proportional to 1,940.80, 2,678.10 and 1,154.74 is: 1,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.80 : 2,678.10 = 1,154.74 : x
  2. Step 2: Convert to fraction form
    1,940.80/2,678.10 = 1,154.74/x
  3. Step 3: Cross multiply
    1,940.80x = 2,678.10 × 1,154.74
  4. Step 4: Simplify right side
    1,940.80x = 3,092,509.19
  5. Step 5: Solve for x
    x = 3,092,509.19/1,940.80
  6. Step 6: Final answer
    x = 1,593.42

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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.