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Finding the Fourth Proportional to 1,776.72, 2,663.16 and 1,196.88

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Solution

The fourth proportional to 1,776.72, 2,663.16 and 1,196.88 is: 1,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.72 : 2,663.16 = 1,196.88 : x
  2. Step 2: Convert to fraction form
    1,776.72/2,663.16 = 1,196.88/x
  3. Step 3: Cross multiply
    1,776.72x = 2,663.16 × 1,196.88
  4. Step 4: Simplify right side
    1,776.72x = 3,187,482.94
  5. Step 5: Solve for x
    x = 3,187,482.94/1,776.72
  6. Step 6: Final answer
    x = 1,794.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.