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Finding the Fourth Proportional to 2,446.76, 3,376.10 and 1,384.52

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Solution

The fourth proportional to 2,446.76, 3,376.10 and 1,384.52 is: 1,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.76 : 3,376.10 = 1,384.52 : x
  2. Step 2: Convert to fraction form
    2,446.76/3,376.10 = 1,384.52/x
  3. Step 3: Cross multiply
    2,446.76x = 3,376.10 × 1,384.52
  4. Step 4: Simplify right side
    2,446.76x = 4,674,277.97
  5. Step 5: Solve for x
    x = 4,674,277.97/2,446.76
  6. Step 6: Final answer
    x = 1,910.39

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Why These Related Problems?

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