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Finding the Fourth Proportional to 4,202.42, 6,303.76 and 1,280.75

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Solution

The fourth proportional to 4,202.42, 6,303.76 and 1,280.75 is: 1,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.42 : 6,303.76 = 1,280.75 : x
  2. Step 2: Convert to fraction form
    4,202.42/6,303.76 = 1,280.75/x
  3. Step 3: Cross multiply
    4,202.42x = 6,303.76 × 1,280.75
  4. Step 4: Simplify right side
    4,202.42x = 8,073,505.90
  5. Step 5: Solve for x
    x = 8,073,505.90/4,202.42
  6. Step 6: Final answer
    x = 1,921.16

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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.