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Finding the Fourth Proportional to 2,297.09, 3,444.62 and 653.26

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Solution

The fourth proportional to 2,297.09, 3,444.62 and 653.26 is: 979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.09 : 3,444.62 = 653.26 : x
  2. Step 2: Convert to fraction form
    2,297.09/3,444.62 = 653.26/x
  3. Step 3: Cross multiply
    2,297.09x = 3,444.62 × 653.26
  4. Step 4: Simplify right side
    2,297.09x = 2,250,220.58
  5. Step 5: Solve for x
    x = 2,250,220.58/2,297.09
  6. Step 6: Final answer
    x = 979.60

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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.