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Finding the Fourth Proportional to 4,494.24, 6,741.36 and 1,207.80

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Solution

The fourth proportional to 4,494.24, 6,741.36 and 1,207.80 is: 1,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.24 : 6,741.36 = 1,207.80 : x
  2. Step 2: Convert to fraction form
    4,494.24/6,741.36 = 1,207.80/x
  3. Step 3: Cross multiply
    4,494.24x = 6,741.36 × 1,207.80
  4. Step 4: Simplify right side
    4,494.24x = 8,142,214.61
  5. Step 5: Solve for x
    x = 8,142,214.61/4,494.24
  6. Step 6: Final answer
    x = 1,811.70

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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.