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Finding the Fourth Proportional to 2,213.82, 3,320.72 and 570.23

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Solution

The fourth proportional to 2,213.82, 3,320.72 and 570.23 is: 855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.82 : 3,320.72 = 570.23 : x
  2. Step 2: Convert to fraction form
    2,213.82/3,320.72 = 570.23/x
  3. Step 3: Cross multiply
    2,213.82x = 3,320.72 × 570.23
  4. Step 4: Simplify right side
    2,213.82x = 1,893,574.17
  5. Step 5: Solve for x
    x = 1,893,574.17/2,213.82
  6. Step 6: Final answer
    x = 855.34

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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.