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Finding the Fourth Proportional to 3,055.02, 4,582.82 and 833.88

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Solution

The fourth proportional to 3,055.02, 4,582.82 and 833.88 is: 1,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.02 : 4,582.82 = 833.88 : x
  2. Step 2: Convert to fraction form
    3,055.02/4,582.82 = 833.88/x
  3. Step 3: Cross multiply
    3,055.02x = 4,582.82 × 833.88
  4. Step 4: Simplify right side
    3,055.02x = 3,821,521.94
  5. Step 5: Solve for x
    x = 3,821,521.94/3,055.02
  6. Step 6: Final answer
    x = 1,250.90

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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.