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Finding the Fourth Proportional to 2,558.71, 3,831.92 and 1,734.49

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Solution

The fourth proportional to 2,558.71, 3,831.92 and 1,734.49 is: 2,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.71 : 3,831.92 = 1,734.49 : x
  2. Step 2: Convert to fraction form
    2,558.71/3,831.92 = 1,734.49/x
  3. Step 3: Cross multiply
    2,558.71x = 3,831.92 × 1,734.49
  4. Step 4: Simplify right side
    2,558.71x = 6,646,421.20
  5. Step 5: Solve for x
    x = 6,646,421.20/2,558.71
  6. Step 6: Final answer
    x = 2,597.56

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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.