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Finding the Fourth Proportional to 3,112.84, 4,670.46 and 1,380.28

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Solution

The fourth proportional to 3,112.84, 4,670.46 and 1,380.28 is: 2,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.84 : 4,670.46 = 1,380.28 : x
  2. Step 2: Convert to fraction form
    3,112.84/4,670.46 = 1,380.28/x
  3. Step 3: Cross multiply
    3,112.84x = 4,670.46 × 1,380.28
  4. Step 4: Simplify right side
    3,112.84x = 6,446,542.53
  5. Step 5: Solve for x
    x = 6,446,542.53/3,112.84
  6. Step 6: Final answer
    x = 2,070.95

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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.