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Finding the Fourth Proportional to 1,451.90, 2,177.67 and 411.99

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Solution

The fourth proportional to 1,451.90, 2,177.67 and 411.99 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.90 : 2,177.67 = 411.99 : x
  2. Step 2: Convert to fraction form
    1,451.90/2,177.67 = 411.99/x
  3. Step 3: Cross multiply
    1,451.90x = 2,177.67 × 411.99
  4. Step 4: Simplify right side
    1,451.90x = 897,178.26
  5. Step 5: Solve for x
    x = 897,178.26/1,451.90
  6. Step 6: Final answer
    x = 617.94

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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.