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Finding the Fourth Proportional to 4,298.48, 6,444 and 1,832.92

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Solution

The fourth proportional to 4,298.48, 6,444 and 1,832.92 is: 2,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.48 : 6,444 = 1,832.92 : x
  2. Step 2: Convert to fraction form
    4,298.48/6,444 = 1,832.92/x
  3. Step 3: Cross multiply
    4,298.48x = 6,444 × 1,832.92
  4. Step 4: Simplify right side
    4,298.48x = 11,811,336.48
  5. Step 5: Solve for x
    x = 11,811,336.48/4,298.48
  6. Step 6: Final answer
    x = 2,747.79

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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.