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Finding the Fourth Proportional to 2,891.42, 4,333.24 and 1,501.86

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Solution

The fourth proportional to 2,891.42, 4,333.24 and 1,501.86 is: 2,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.42 : 4,333.24 = 1,501.86 : x
  2. Step 2: Convert to fraction form
    2,891.42/4,333.24 = 1,501.86/x
  3. Step 3: Cross multiply
    2,891.42x = 4,333.24 × 1,501.86
  4. Step 4: Simplify right side
    2,891.42x = 6,507,919.83
  5. Step 5: Solve for x
    x = 6,507,919.83/2,891.42
  6. Step 6: Final answer
    x = 2,250.77

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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.