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Finding the Fourth Proportional to 2,545.70, 3,831.94 and 2,169.86

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Solution

The fourth proportional to 2,545.70, 3,831.94 and 2,169.86 is: 3,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.70 : 3,831.94 = 2,169.86 : x
  2. Step 2: Convert to fraction form
    2,545.70/3,831.94 = 2,169.86/x
  3. Step 3: Cross multiply
    2,545.70x = 3,831.94 × 2,169.86
  4. Step 4: Simplify right side
    2,545.70x = 8,314,756.88
  5. Step 5: Solve for x
    x = 8,314,756.88/2,545.70
  6. Step 6: Final answer
    x = 3,266.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.