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Finding the Fourth Proportional to 2,297.29, 3,445.86 and 653.83

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Solution

The fourth proportional to 2,297.29, 3,445.86 and 653.83 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.29 : 3,445.86 = 653.83 : x
  2. Step 2: Convert to fraction form
    2,297.29/3,445.86 = 653.83/x
  3. Step 3: Cross multiply
    2,297.29x = 3,445.86 × 653.83
  4. Step 4: Simplify right side
    2,297.29x = 2,253,006.64
  5. Step 5: Solve for x
    x = 2,253,006.64/2,297.29
  6. Step 6: Final answer
    x = 980.72

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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.