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Finding the Fourth Proportional to 2,898.77, 4,346.23 and 1,049.64

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Solution

The fourth proportional to 2,898.77, 4,346.23 and 1,049.64 is: 1,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.77 : 4,346.23 = 1,049.64 : x
  2. Step 2: Convert to fraction form
    2,898.77/4,346.23 = 1,049.64/x
  3. Step 3: Cross multiply
    2,898.77x = 4,346.23 × 1,049.64
  4. Step 4: Simplify right side
    2,898.77x = 4,561,976.86
  5. Step 5: Solve for x
    x = 4,561,976.86/2,898.77
  6. Step 6: Final answer
    x = 1,573.76

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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.