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Finding the Fourth Proportional to 2,576.66, 3,831.86 and 2,494.66

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Solution

The fourth proportional to 2,576.66, 3,831.86 and 2,494.66 is: 3,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.66 : 3,831.86 = 2,494.66 : x
  2. Step 2: Convert to fraction form
    2,576.66/3,831.86 = 2,494.66/x
  3. Step 3: Cross multiply
    2,576.66x = 3,831.86 × 2,494.66
  4. Step 4: Simplify right side
    2,576.66x = 9,559,187.87
  5. Step 5: Solve for x
    x = 9,559,187.87/2,576.66
  6. Step 6: Final answer
    x = 3,709.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.