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Finding the Fourth Proportional to 2,298.66, 3,447.99 and 567.29

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Solution

The fourth proportional to 2,298.66, 3,447.99 and 567.29 is: 850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.66 : 3,447.99 = 567.29 : x
  2. Step 2: Convert to fraction form
    2,298.66/3,447.99 = 567.29/x
  3. Step 3: Cross multiply
    2,298.66x = 3,447.99 × 567.29
  4. Step 4: Simplify right side
    2,298.66x = 1,955,993.01
  5. Step 5: Solve for x
    x = 1,955,993.01/2,298.66
  6. Step 6: Final answer
    x = 850.93

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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.