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Finding the Fourth Proportional to 2,280.83, 3,406.46 and 2,076.71

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Solution

The fourth proportional to 2,280.83, 3,406.46 and 2,076.71 is: 3,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.83 : 3,406.46 = 2,076.71 : x
  2. Step 2: Convert to fraction form
    2,280.83/3,406.46 = 2,076.71/x
  3. Step 3: Cross multiply
    2,280.83x = 3,406.46 × 2,076.71
  4. Step 4: Simplify right side
    2,280.83x = 7,074,202.13
  5. Step 5: Solve for x
    x = 7,074,202.13/2,280.83
  6. Step 6: Final answer
    x = 3,101.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.