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Finding the Fourth Proportional to 1,782.39, 2,459.72 and 996.45

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Solution

The fourth proportional to 1,782.39, 2,459.72 and 996.45 is: 1,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.39 : 2,459.72 = 996.45 : x
  2. Step 2: Convert to fraction form
    1,782.39/2,459.72 = 996.45/x
  3. Step 3: Cross multiply
    1,782.39x = 2,459.72 × 996.45
  4. Step 4: Simplify right side
    1,782.39x = 2,450,987.99
  5. Step 5: Solve for x
    x = 2,450,987.99/1,782.39
  6. Step 6: Final answer
    x = 1,375.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.