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Finding the Fourth Proportional to 2,114.43, 3,171.65 and 653.55

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Solution

The fourth proportional to 2,114.43, 3,171.65 and 653.55 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.43 : 3,171.65 = 653.55 : x
  2. Step 2: Convert to fraction form
    2,114.43/3,171.65 = 653.55/x
  3. Step 3: Cross multiply
    2,114.43x = 3,171.65 × 653.55
  4. Step 4: Simplify right side
    2,114.43x = 2,072,831.86
  5. Step 5: Solve for x
    x = 2,072,831.86/2,114.43
  6. Step 6: Final answer
    x = 980.33

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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.