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Finding the Fourth Proportional to 4,297.48, 6,446.86 and 1,219.40

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Solution

The fourth proportional to 4,297.48, 6,446.86 and 1,219.40 is: 1,829.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.48 : 6,446.86 = 1,219.40 : x
  2. Step 2: Convert to fraction form
    4,297.48/6,446.86 = 1,219.40/x
  3. Step 3: Cross multiply
    4,297.48x = 6,446.86 × 1,219.40
  4. Step 4: Simplify right side
    4,297.48x = 7,861,301.08
  5. Step 5: Solve for x
    x = 7,861,301.08/4,297.48
  6. Step 6: Final answer
    x = 1,829.28

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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.