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Finding the Fourth Proportional to 1,351.95, 2,026.01 and 831.86

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Solution

The fourth proportional to 1,351.95, 2,026.01 and 831.86 is: 1,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.95 : 2,026.01 = 831.86 : x
  2. Step 2: Convert to fraction form
    1,351.95/2,026.01 = 831.86/x
  3. Step 3: Cross multiply
    1,351.95x = 2,026.01 × 831.86
  4. Step 4: Simplify right side
    1,351.95x = 1,685,342.39
  5. Step 5: Solve for x
    x = 1,685,342.39/1,351.95
  6. Step 6: Final answer
    x = 1,246.60

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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.