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Finding the Fourth Proportional to 4,192.78, 6,289.19 and 1,419.48

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Solution

The fourth proportional to 4,192.78, 6,289.19 and 1,419.48 is: 2,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.78 : 6,289.19 = 1,419.48 : x
  2. Step 2: Convert to fraction form
    4,192.78/6,289.19 = 1,419.48/x
  3. Step 3: Cross multiply
    4,192.78x = 6,289.19 × 1,419.48
  4. Step 4: Simplify right side
    4,192.78x = 8,927,379.42
  5. Step 5: Solve for x
    x = 8,927,379.42/4,192.78
  6. Step 6: Final answer
    x = 2,129.23

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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.