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Finding the Fourth Proportional to 1,780.74, 2,671.11 and 1,168.32

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Solution

The fourth proportional to 1,780.74, 2,671.11 and 1,168.32 is: 1,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.74 : 2,671.11 = 1,168.32 : x
  2. Step 2: Convert to fraction form
    1,780.74/2,671.11 = 1,168.32/x
  3. Step 3: Cross multiply
    1,780.74x = 2,671.11 × 1,168.32
  4. Step 4: Simplify right side
    1,780.74x = 3,120,697.88
  5. Step 5: Solve for x
    x = 3,120,697.88/1,780.74
  6. Step 6: Final answer
    x = 1,752.48

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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.