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Finding the Fourth Proportional to 2,297.00, 3,444.89 and 653.63

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Solution

The fourth proportional to 2,297.00, 3,444.89 and 653.63 is: 980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.00 : 3,444.89 = 653.63 : x
  2. Step 2: Convert to fraction form
    2,297.00/3,444.89 = 653.63/x
  3. Step 3: Cross multiply
    2,297.00x = 3,444.89 × 653.63
  4. Step 4: Simplify right side
    2,297.00x = 2,251,662.96
  5. Step 5: Solve for x
    x = 2,251,662.96/2,297.00
  6. Step 6: Final answer
    x = 980.26

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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.