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Finding the Fourth Proportional to 2,295.29, 3,442.86 and 651.83

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Solution

The fourth proportional to 2,295.29, 3,442.86 and 651.83 is: 977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.29 : 3,442.86 = 651.83 : x
  2. Step 2: Convert to fraction form
    2,295.29/3,442.86 = 651.83/x
  3. Step 3: Cross multiply
    2,295.29x = 3,442.86 × 651.83
  4. Step 4: Simplify right side
    2,295.29x = 2,244,169.44
  5. Step 5: Solve for x
    x = 2,244,169.44/2,295.29
  6. Step 6: Final answer
    x = 977.73

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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.