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Finding the Fourth Proportional to 1,782.03, 2,459.30 and 996.06

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Solution

The fourth proportional to 1,782.03, 2,459.30 and 996.06 is: 1,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.03 : 2,459.30 = 996.06 : x
  2. Step 2: Convert to fraction form
    1,782.03/2,459.30 = 996.06/x
  3. Step 3: Cross multiply
    1,782.03x = 2,459.30 × 996.06
  4. Step 4: Simplify right side
    1,782.03x = 2,449,605.38
  5. Step 5: Solve for x
    x = 2,449,605.38/1,782.03
  6. Step 6: Final answer
    x = 1,374.62

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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.