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Finding the Fourth Proportional to 1,782.60, 2,460 and 996.72

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Solution

The fourth proportional to 1,782.60, 2,460 and 996.72 is: 1,375.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.60 : 2,460 = 996.72 : x
  2. Step 2: Convert to fraction form
    1,782.60/2,460 = 996.72/x
  3. Step 3: Cross multiply
    1,782.60x = 2,460 × 996.72
  4. Step 4: Simplify right side
    1,782.60x = 2,451,931.20
  5. Step 5: Solve for x
    x = 2,451,931.20/1,782.60
  6. Step 6: Final answer
    x = 1,375.48

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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.