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Finding the Fourth Proportional to 2,174.92, 2,998.74 and 1,894.12

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Solution

The fourth proportional to 2,174.92, 2,998.74 and 1,894.12 is: 2,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.92 : 2,998.74 = 1,894.12 : x
  2. Step 2: Convert to fraction form
    2,174.92/2,998.74 = 1,894.12/x
  3. Step 3: Cross multiply
    2,174.92x = 2,998.74 × 1,894.12
  4. Step 4: Simplify right side
    2,174.92x = 5,679,973.41
  5. Step 5: Solve for x
    x = 5,679,973.41/2,174.92
  6. Step 6: Final answer
    x = 2,611.58

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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.