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Finding the Fourth Proportional to 2,758.86, 4,139.01 and 810.99

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Solution

The fourth proportional to 2,758.86, 4,139.01 and 810.99 is: 1,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.86 : 4,139.01 = 810.99 : x
  2. Step 2: Convert to fraction form
    2,758.86/4,139.01 = 810.99/x
  3. Step 3: Cross multiply
    2,758.86x = 4,139.01 × 810.99
  4. Step 4: Simplify right side
    2,758.86x = 3,356,695.72
  5. Step 5: Solve for x
    x = 3,356,695.72/2,758.86
  6. Step 6: Final answer
    x = 1,216.70

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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.