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Finding the Fourth Proportional to 2,192.01, 3,289.49 and 893.71

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Solution

The fourth proportional to 2,192.01, 3,289.49 and 893.71 is: 1,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.01 : 3,289.49 = 893.71 : x
  2. Step 2: Convert to fraction form
    2,192.01/3,289.49 = 893.71/x
  3. Step 3: Cross multiply
    2,192.01x = 3,289.49 × 893.71
  4. Step 4: Simplify right side
    2,192.01x = 2,939,850.11
  5. Step 5: Solve for x
    x = 2,939,850.11/2,192.01
  6. Step 6: Final answer
    x = 1,341.17

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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.