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Finding the Fourth Proportional to 1,661.96, 2,491.50 and 1,401.32

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Solution

The fourth proportional to 1,661.96, 2,491.50 and 1,401.32 is: 2,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.96 : 2,491.50 = 1,401.32 : x
  2. Step 2: Convert to fraction form
    1,661.96/2,491.50 = 1,401.32/x
  3. Step 3: Cross multiply
    1,661.96x = 2,491.50 × 1,401.32
  4. Step 4: Simplify right side
    1,661.96x = 3,491,388.78
  5. Step 5: Solve for x
    x = 3,491,388.78/1,661.96
  6. Step 6: Final answer
    x = 2,100.77

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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.