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Finding the Fourth Proportional to 1,865.08, 2,797.96 and 891.24

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Solution

The fourth proportional to 1,865.08, 2,797.96 and 891.24 is: 1,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.08 : 2,797.96 = 891.24 : x
  2. Step 2: Convert to fraction form
    1,865.08/2,797.96 = 891.24/x
  3. Step 3: Cross multiply
    1,865.08x = 2,797.96 × 891.24
  4. Step 4: Simplify right side
    1,865.08x = 2,493,653.87
  5. Step 5: Solve for x
    x = 2,493,653.87/1,865.08
  6. Step 6: Final answer
    x = 1,337.02

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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.