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Finding the Fourth Proportional to 3,167.66, 4,753.53 and 1,707.83

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Solution

The fourth proportional to 3,167.66, 4,753.53 and 1,707.83 is: 2,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.66 : 4,753.53 = 1,707.83 : x
  2. Step 2: Convert to fraction form
    3,167.66/4,753.53 = 1,707.83/x
  3. Step 3: Cross multiply
    3,167.66x = 4,753.53 × 1,707.83
  4. Step 4: Simplify right side
    3,167.66x = 8,118,221.14
  5. Step 5: Solve for x
    x = 8,118,221.14/3,167.66
  6. Step 6: Final answer
    x = 2,562.84

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1.5x scale

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.