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Finding the Fourth Proportional to 2,657.76, 3,986.78 and 926.52

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Solution

The fourth proportional to 2,657.76, 3,986.78 and 926.52 is: 1,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.76 : 3,986.78 = 926.52 : x
  2. Step 2: Convert to fraction form
    2,657.76/3,986.78 = 926.52/x
  3. Step 3: Cross multiply
    2,657.76x = 3,986.78 × 926.52
  4. Step 4: Simplify right side
    2,657.76x = 3,693,831.41
  5. Step 5: Solve for x
    x = 3,693,831.41/2,657.76
  6. Step 6: Final answer
    x = 1,389.83

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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.