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Finding the Fourth Proportional to 3,053.02, 4,579.82 and 831.88

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Solution

The fourth proportional to 3,053.02, 4,579.82 and 831.88 is: 1,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.02 : 4,579.82 = 831.88 : x
  2. Step 2: Convert to fraction form
    3,053.02/4,579.82 = 831.88/x
  3. Step 3: Cross multiply
    3,053.02x = 4,579.82 × 831.88
  4. Step 4: Simplify right side
    3,053.02x = 3,809,860.66
  5. Step 5: Solve for x
    x = 3,809,860.66/3,053.02
  6. Step 6: Final answer
    x = 1,247.90

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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.