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Finding the Fourth Proportional to 2,144.88, 2,960.15 and 2,051.46

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Solution

The fourth proportional to 2,144.88, 2,960.15 and 2,051.46 is: 2,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.88 : 2,960.15 = 2,051.46 : x
  2. Step 2: Convert to fraction form
    2,144.88/2,960.15 = 2,051.46/x
  3. Step 3: Cross multiply
    2,144.88x = 2,960.15 × 2,051.46
  4. Step 4: Simplify right side
    2,144.88x = 6,072,619.06
  5. Step 5: Solve for x
    x = 6,072,619.06/2,144.88
  6. Step 6: Final answer
    x = 2,831.22

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