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Finding the Fourth Proportional to 2,299.24, 3,448.59 and 655.75

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Solution

The fourth proportional to 2,299.24, 3,448.59 and 655.75 is: 983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.24 : 3,448.59 = 655.75 : x
  2. Step 2: Convert to fraction form
    2,299.24/3,448.59 = 655.75/x
  3. Step 3: Cross multiply
    2,299.24x = 3,448.59 × 655.75
  4. Step 4: Simplify right side
    2,299.24x = 2,261,412.89
  5. Step 5: Solve for x
    x = 2,261,412.89/2,299.24
  6. Step 6: Final answer
    x = 983.55

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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.