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Finding the Fourth Proportional to 2,215.23, 3,322.84 and 571.76

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Solution

The fourth proportional to 2,215.23, 3,322.84 and 571.76 is: 857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.23 : 3,322.84 = 571.76 : x
  2. Step 2: Convert to fraction form
    2,215.23/3,322.84 = 571.76/x
  3. Step 3: Cross multiply
    2,215.23x = 3,322.84 × 571.76
  4. Step 4: Simplify right side
    2,215.23x = 1,899,867.00
  5. Step 5: Solve for x
    x = 1,899,867.00/2,215.23
  6. Step 6: Final answer
    x = 857.64

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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.