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Finding the Fourth Proportional to 2,171.99, 2,998.24 and 1,376.47

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Solution

The fourth proportional to 2,171.99, 2,998.24 and 1,376.47 is: 1,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.99 : 2,998.24 = 1,376.47 : x
  2. Step 2: Convert to fraction form
    2,171.99/2,998.24 = 1,376.47/x
  3. Step 3: Cross multiply
    2,171.99x = 2,998.24 × 1,376.47
  4. Step 4: Simplify right side
    2,171.99x = 4,126,976.48
  5. Step 5: Solve for x
    x = 4,126,976.48/2,171.99
  6. Step 6: Final answer
    x = 1,900.09

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1.5x scale

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.