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Finding the Fourth Proportional to 2,008.77, 2,771.19 and 1,263.15

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Solution

The fourth proportional to 2,008.77, 2,771.19 and 1,263.15 is: 1,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.77 : 2,771.19 = 1,263.15 : x
  2. Step 2: Convert to fraction form
    2,008.77/2,771.19 = 1,263.15/x
  3. Step 3: Cross multiply
    2,008.77x = 2,771.19 × 1,263.15
  4. Step 4: Simplify right side
    2,008.77x = 3,500,428.65
  5. Step 5: Solve for x
    x = 3,500,428.65/2,008.77
  6. Step 6: Final answer
    x = 1,742.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.