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Finding the Fourth Proportional to 1,782.50, 2,459.85 and 996.74

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Solution

The fourth proportional to 1,782.50, 2,459.85 and 996.74 is: 1,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.50 : 2,459.85 = 996.74 : x
  2. Step 2: Convert to fraction form
    1,782.50/2,459.85 = 996.74/x
  3. Step 3: Cross multiply
    1,782.50x = 2,459.85 × 996.74
  4. Step 4: Simplify right side
    1,782.50x = 2,451,818.59
  5. Step 5: Solve for x
    x = 2,451,818.59/1,782.50
  6. Step 6: Final answer
    x = 1,375.49

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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.