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Finding the Fourth Proportional to 2,767.78, 4,151.70 and 1,036

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Solution

The fourth proportional to 2,767.78, 4,151.70 and 1,036 is: 1,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.78 : 4,151.70 = 1,036 : x
  2. Step 2: Convert to fraction form
    2,767.78/4,151.70 = 1,036/x
  3. Step 3: Cross multiply
    2,767.78x = 4,151.70 × 1,036
  4. Step 4: Simplify right side
    2,767.78x = 4,301,161.20
  5. Step 5: Solve for x
    x = 4,301,161.20/2,767.78
  6. Step 6: Final answer
    x = 1,554.01

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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.