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Finding the Fourth Proportional to 3,167.70, 4,752.18 and 1,606.47

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Solution

The fourth proportional to 3,167.70, 4,752.18 and 1,606.47 is: 2,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.70 : 4,752.18 = 1,606.47 : x
  2. Step 2: Convert to fraction form
    3,167.70/4,752.18 = 1,606.47/x
  3. Step 3: Cross multiply
    3,167.70x = 4,752.18 × 1,606.47
  4. Step 4: Simplify right side
    3,167.70x = 7,634,234.60
  5. Step 5: Solve for x
    x = 7,634,234.60/3,167.70
  6. Step 6: Final answer
    x = 2,410.02

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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.