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Finding the Fourth Proportional to 2,192.41, 3,288.34 and 893.89

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Solution

The fourth proportional to 2,192.41, 3,288.34 and 893.89 is: 1,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.41 : 3,288.34 = 893.89 : x
  2. Step 2: Convert to fraction form
    2,192.41/3,288.34 = 893.89/x
  3. Step 3: Cross multiply
    2,192.41x = 3,288.34 × 893.89
  4. Step 4: Simplify right side
    2,192.41x = 2,939,393.33
  5. Step 5: Solve for x
    x = 2,939,393.33/2,192.41
  6. Step 6: Final answer
    x = 1,340.72

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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.