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Finding the Fourth Proportional to 1,764.85, 2,436.64 and 1,205.12

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Solution

The fourth proportional to 1,764.85, 2,436.64 and 1,205.12 is: 1,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.85 : 2,436.64 = 1,205.12 : x
  2. Step 2: Convert to fraction form
    1,764.85/2,436.64 = 1,205.12/x
  3. Step 3: Cross multiply
    1,764.85x = 2,436.64 × 1,205.12
  4. Step 4: Simplify right side
    1,764.85x = 2,936,432.92
  5. Step 5: Solve for x
    x = 2,936,432.92/1,764.85
  6. Step 6: Final answer
    x = 1,663.84

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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.