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Finding the Fourth Proportional to 2,831.07, 4,246.48 and 1,444.37

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Solution

The fourth proportional to 2,831.07, 4,246.48 and 1,444.37 is: 2,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.07 : 4,246.48 = 1,444.37 : x
  2. Step 2: Convert to fraction form
    2,831.07/4,246.48 = 1,444.37/x
  3. Step 3: Cross multiply
    2,831.07x = 4,246.48 × 1,444.37
  4. Step 4: Simplify right side
    2,831.07x = 6,133,500.74
  5. Step 5: Solve for x
    x = 6,133,500.74/2,831.07
  6. Step 6: Final answer
    x = 2,166.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.