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Finding the Fourth Proportional to 2,297.14, 3,446.29 and 653.69

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Solution

The fourth proportional to 2,297.14, 3,446.29 and 653.69 is: 980.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.14 : 3,446.29 = 653.69 : x
  2. Step 2: Convert to fraction form
    2,297.14/3,446.29 = 653.69/x
  3. Step 3: Cross multiply
    2,297.14x = 3,446.29 × 653.69
  4. Step 4: Simplify right side
    2,297.14x = 2,252,784.81
  5. Step 5: Solve for x
    x = 2,252,784.81/2,297.14
  6. Step 6: Final answer
    x = 980.69

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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.