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Finding the Fourth Proportional to 2,143.07, 2,960.71 and 1,831.56

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Solution

The fourth proportional to 2,143.07, 2,960.71 and 1,831.56 is: 2,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.07 : 2,960.71 = 1,831.56 : x
  2. Step 2: Convert to fraction form
    2,143.07/2,960.71 = 1,831.56/x
  3. Step 3: Cross multiply
    2,143.07x = 2,960.71 × 1,831.56
  4. Step 4: Simplify right side
    2,143.07x = 5,422,703.20
  5. Step 5: Solve for x
    x = 5,422,703.20/2,143.07
  6. Step 6: Final answer
    x = 2,530.35

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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.