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Finding the Fourth Proportional to 2,432.46, 3,356.82 and 1,384.32

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Solution

The fourth proportional to 2,432.46, 3,356.82 and 1,384.32 is: 1,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.46 : 3,356.82 = 1,384.32 : x
  2. Step 2: Convert to fraction form
    2,432.46/3,356.82 = 1,384.32/x
  3. Step 3: Cross multiply
    2,432.46x = 3,356.82 × 1,384.32
  4. Step 4: Simplify right side
    2,432.46x = 4,646,913.06
  5. Step 5: Solve for x
    x = 4,646,913.06/2,432.46
  6. Step 6: Final answer
    x = 1,910.38

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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.