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Finding the Fourth Proportional to 2,561.00, 3,518.85 and 2,036.12

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Solution

The fourth proportional to 2,561.00, 3,518.85 and 2,036.12 is: 2,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.00 : 3,518.85 = 2,036.12 : x
  2. Step 2: Convert to fraction form
    2,561.00/3,518.85 = 2,036.12/x
  3. Step 3: Cross multiply
    2,561.00x = 3,518.85 × 2,036.12
  4. Step 4: Simplify right side
    2,561.00x = 7,164,783.27
  5. Step 5: Solve for x
    x = 7,164,783.27/2,561.00
  6. Step 6: Final answer
    x = 2,797.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.