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Finding the Fourth Proportional to 2,370.50, 3,557.37 and 831.50

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Solution

The fourth proportional to 2,370.50, 3,557.37 and 831.50 is: 1,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.50 : 3,557.37 = 831.50 : x
  2. Step 2: Convert to fraction form
    2,370.50/3,557.37 = 831.50/x
  3. Step 3: Cross multiply
    2,370.50x = 3,557.37 × 831.50
  4. Step 4: Simplify right side
    2,370.50x = 2,957,953.16
  5. Step 5: Solve for x
    x = 2,957,953.16/2,370.50
  6. Step 6: Final answer
    x = 1,247.82

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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.