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Finding the Fourth Proportional to 2,552.69, 3,831.71 and 2,262.05

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Solution

The fourth proportional to 2,552.69, 3,831.71 and 2,262.05 is: 3,395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.69 : 3,831.71 = 2,262.05 : x
  2. Step 2: Convert to fraction form
    2,552.69/3,831.71 = 2,262.05/x
  3. Step 3: Cross multiply
    2,552.69x = 3,831.71 × 2,262.05
  4. Step 4: Simplify right side
    2,552.69x = 8,667,509.05
  5. Step 5: Solve for x
    x = 8,667,509.05/2,552.69
  6. Step 6: Final answer
    x = 3,395.45

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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.