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Finding the Fourth Proportional to 3,126.77, 4,313.90 and 2,065.06

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Solution

The fourth proportional to 3,126.77, 4,313.90 and 2,065.06 is: 2,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.77 : 4,313.90 = 2,065.06 : x
  2. Step 2: Convert to fraction form
    3,126.77/4,313.90 = 2,065.06/x
  3. Step 3: Cross multiply
    3,126.77x = 4,313.90 × 2,065.06
  4. Step 4: Simplify right side
    3,126.77x = 8,908,462.33
  5. Step 5: Solve for x
    x = 8,908,462.33/3,126.77
  6. Step 6: Final answer
    x = 2,849.09

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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.