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Finding the Fourth Proportional to 2,446.39, 3,375.19 and 1,384.03

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Solution

The fourth proportional to 2,446.39, 3,375.19 and 1,384.03 is: 1,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.39 : 3,375.19 = 1,384.03 : x
  2. Step 2: Convert to fraction form
    2,446.39/3,375.19 = 1,384.03/x
  3. Step 3: Cross multiply
    2,446.39x = 3,375.19 × 1,384.03
  4. Step 4: Simplify right side
    2,446.39x = 4,671,364.22
  5. Step 5: Solve for x
    x = 4,671,364.22/2,446.39
  6. Step 6: Final answer
    x = 1,909.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.