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Finding the Fourth Proportional to 3,362.41, 5,043.74 and 1,607.62

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Solution

The fourth proportional to 3,362.41, 5,043.74 and 1,607.62 is: 2,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.41 : 5,043.74 = 1,607.62 : x
  2. Step 2: Convert to fraction form
    3,362.41/5,043.74 = 1,607.62/x
  3. Step 3: Cross multiply
    3,362.41x = 5,043.74 × 1,607.62
  4. Step 4: Simplify right side
    3,362.41x = 8,108,417.30
  5. Step 5: Solve for x
    x = 8,108,417.30/3,362.41
  6. Step 6: Final answer
    x = 2,411.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.