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Finding the Fourth Proportional to 4,242.65, 6,365.20 and 1,280.99

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Solution

The fourth proportional to 4,242.65, 6,365.20 and 1,280.99 is: 1,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.65 : 6,365.20 = 1,280.99 : x
  2. Step 2: Convert to fraction form
    4,242.65/6,365.20 = 1,280.99/x
  3. Step 3: Cross multiply
    4,242.65x = 6,365.20 × 1,280.99
  4. Step 4: Simplify right side
    4,242.65x = 8,153,770.26
  5. Step 5: Solve for x
    x = 8,153,770.26/4,242.65
  6. Step 6: Final answer
    x = 1,921.86

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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.