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Finding the Fourth Proportional to 2,298.82, 3,448.26 and 567.46

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Solution

The fourth proportional to 2,298.82, 3,448.26 and 567.46 is: 851.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.82 : 3,448.26 = 567.46 : x
  2. Step 2: Convert to fraction form
    2,298.82/3,448.26 = 567.46/x
  3. Step 3: Cross multiply
    2,298.82x = 3,448.26 × 567.46
  4. Step 4: Simplify right side
    2,298.82x = 1,956,749.62
  5. Step 5: Solve for x
    x = 1,956,749.62/2,298.82
  6. Step 6: Final answer
    x = 851.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.