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Finding the Fourth Proportional to 2,776.78, 4,165.23 and 1,316.08

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Solution

The fourth proportional to 2,776.78, 4,165.23 and 1,316.08 is: 1,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.78 : 4,165.23 = 1,316.08 : x
  2. Step 2: Convert to fraction form
    2,776.78/4,165.23 = 1,316.08/x
  3. Step 3: Cross multiply
    2,776.78x = 4,165.23 × 1,316.08
  4. Step 4: Simplify right side
    2,776.78x = 5,481,775.90
  5. Step 5: Solve for x
    x = 5,481,775.90/2,776.78
  6. Step 6: Final answer
    x = 1,974.15

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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.