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Finding the Fourth Proportional to 2,895.44, 4,350.16 and 1,857.44

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Solution

The fourth proportional to 2,895.44, 4,350.16 and 1,857.44 is: 2,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.44 : 4,350.16 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    2,895.44/4,350.16 = 1,857.44/x
  3. Step 3: Cross multiply
    2,895.44x = 4,350.16 × 1,857.44
  4. Step 4: Simplify right side
    2,895.44x = 8,080,161.19
  5. Step 5: Solve for x
    x = 8,080,161.19/2,895.44
  6. Step 6: Final answer
    x = 2,790.65

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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.