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Finding the Fourth Proportional to 2,298.07, 3,447.07 and 566.71

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Solution

The fourth proportional to 2,298.07, 3,447.07 and 566.71 is: 850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.07 : 3,447.07 = 566.71 : x
  2. Step 2: Convert to fraction form
    2,298.07/3,447.07 = 566.71/x
  3. Step 3: Cross multiply
    2,298.07x = 3,447.07 × 566.71
  4. Step 4: Simplify right side
    2,298.07x = 1,953,489.04
  5. Step 5: Solve for x
    x = 1,953,489.04/2,298.07
  6. Step 6: Final answer
    x = 850.06

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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.