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Finding the Fourth Proportional to 1,781.40, 2,671.83 and 1,375.32

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Solution

The fourth proportional to 1,781.40, 2,671.83 and 1,375.32 is: 2,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.40 : 2,671.83 = 1,375.32 : x
  2. Step 2: Convert to fraction form
    1,781.40/2,671.83 = 1,375.32/x
  3. Step 3: Cross multiply
    1,781.40x = 2,671.83 × 1,375.32
  4. Step 4: Simplify right side
    1,781.40x = 3,674,621.24
  5. Step 5: Solve for x
    x = 3,674,621.24/1,781.40
  6. Step 6: Final answer
    x = 2,062.77

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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.