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Finding the Fourth Proportional to 2,873.50, 4,311.02 and 1,556.95

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Solution

The fourth proportional to 2,873.50, 4,311.02 and 1,556.95 is: 2,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.50 : 4,311.02 = 1,556.95 : x
  2. Step 2: Convert to fraction form
    2,873.50/4,311.02 = 1,556.95/x
  3. Step 3: Cross multiply
    2,873.50x = 4,311.02 × 1,556.95
  4. Step 4: Simplify right side
    2,873.50x = 6,712,021.03
  5. Step 5: Solve for x
    x = 6,712,021.03/2,873.50
  6. Step 6: Final answer
    x = 2,335.83

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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.