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Finding the Fourth Proportional to 2,798.34, 4,216.47 and 2,322.06

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Solution

The fourth proportional to 2,798.34, 4,216.47 and 2,322.06 is: 3,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.34 : 4,216.47 = 2,322.06 : x
  2. Step 2: Convert to fraction form
    2,798.34/4,216.47 = 2,322.06/x
  3. Step 3: Cross multiply
    2,798.34x = 4,216.47 × 2,322.06
  4. Step 4: Simplify right side
    2,798.34x = 9,790,896.33
  5. Step 5: Solve for x
    x = 9,790,896.33/2,798.34
  6. Step 6: Final answer
    x = 3,498.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.