Home / 2,824.67-3,897.19-1,831.12

Finding the Fourth Proportional to 2,824.67, 3,897.19 and 1,831.12

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Solution

The fourth proportional to 2,824.67, 3,897.19 and 1,831.12 is: 2,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.67 : 3,897.19 = 1,831.12 : x
  2. Step 2: Convert to fraction form
    2,824.67/3,897.19 = 1,831.12/x
  3. Step 3: Cross multiply
    2,824.67x = 3,897.19 × 1,831.12
  4. Step 4: Simplify right side
    2,824.67x = 7,136,222.55
  5. Step 5: Solve for x
    x = 7,136,222.55/2,824.67
  6. Step 6: Final answer
    x = 2,526.39

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Why These Related Problems?

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