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Finding the Fourth Proportional to 1,894.20, 2,841.44 and 661.25

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Solution

The fourth proportional to 1,894.20, 2,841.44 and 661.25 is: 991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.20 : 2,841.44 = 661.25 : x
  2. Step 2: Convert to fraction form
    1,894.20/2,841.44 = 661.25/x
  3. Step 3: Cross multiply
    1,894.20x = 2,841.44 × 661.25
  4. Step 4: Simplify right side
    1,894.20x = 1,878,884.69
  5. Step 5: Solve for x
    x = 1,878,884.69/1,894.20
  6. Step 6: Final answer
    x = 991.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.