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Finding the Fourth Proportional to 4,202.60, 6,303.84 and 1,280.90

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Solution

The fourth proportional to 4,202.60, 6,303.84 and 1,280.90 is: 1,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.60 : 6,303.84 = 1,280.90 : x
  2. Step 2: Convert to fraction form
    4,202.60/6,303.84 = 1,280.90/x
  3. Step 3: Cross multiply
    4,202.60x = 6,303.84 × 1,280.90
  4. Step 4: Simplify right side
    4,202.60x = 8,074,557.14
  5. Step 5: Solve for x
    x = 8,074,557.14/4,202.60
  6. Step 6: Final answer
    x = 1,921.33

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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.