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Finding the Fourth Proportional to 1,782.32, 2,459.74 and 996.50

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Solution

The fourth proportional to 1,782.32, 2,459.74 and 996.50 is: 1,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.32 : 2,459.74 = 996.50 : x
  2. Step 2: Convert to fraction form
    1,782.32/2,459.74 = 996.50/x
  3. Step 3: Cross multiply
    1,782.32x = 2,459.74 × 996.50
  4. Step 4: Simplify right side
    1,782.32x = 2,451,130.91
  5. Step 5: Solve for x
    x = 2,451,130.91/1,782.32
  6. Step 6: Final answer
    x = 1,375.25

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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.