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Finding the Fourth Proportional to 2,299.53, 3,448.29 and 655.71

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Solution

The fourth proportional to 2,299.53, 3,448.29 and 655.71 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.53 : 3,448.29 = 655.71 : x
  2. Step 2: Convert to fraction form
    2,299.53/3,448.29 = 655.71/x
  3. Step 3: Cross multiply
    2,299.53x = 3,448.29 × 655.71
  4. Step 4: Simplify right side
    2,299.53x = 2,261,078.24
  5. Step 5: Solve for x
    x = 2,261,078.24/2,299.53
  6. Step 6: Final answer
    x = 983.28

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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.