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Finding the Fourth Proportional to 2,651.52, 3,977.72 and 896.69

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Solution

The fourth proportional to 2,651.52, 3,977.72 and 896.69 is: 1,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.52 : 3,977.72 = 896.69 : x
  2. Step 2: Convert to fraction form
    2,651.52/3,977.72 = 896.69/x
  3. Step 3: Cross multiply
    2,651.52x = 3,977.72 × 896.69
  4. Step 4: Simplify right side
    2,651.52x = 3,566,781.75
  5. Step 5: Solve for x
    x = 3,566,781.75/2,651.52
  6. Step 6: Final answer
    x = 1,345.18

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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.