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Finding the Fourth Proportional to 1,781.58, 2,671.29 and 741.18

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Solution

The fourth proportional to 1,781.58, 2,671.29 and 741.18 is: 1,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.58 : 2,671.29 = 741.18 : x
  2. Step 2: Convert to fraction form
    1,781.58/2,671.29 = 741.18/x
  3. Step 3: Cross multiply
    1,781.58x = 2,671.29 × 741.18
  4. Step 4: Simplify right side
    1,781.58x = 1,979,906.72
  5. Step 5: Solve for x
    x = 1,979,906.72/1,781.58
  6. Step 6: Final answer
    x = 1,111.32

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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.