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Finding the Fourth Proportional to 2,339.06, 3,229.07 and 1,455.14

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Solution

The fourth proportional to 2,339.06, 3,229.07 and 1,455.14 is: 2,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.06 : 3,229.07 = 1,455.14 : x
  2. Step 2: Convert to fraction form
    2,339.06/3,229.07 = 1,455.14/x
  3. Step 3: Cross multiply
    2,339.06x = 3,229.07 × 1,455.14
  4. Step 4: Simplify right side
    2,339.06x = 4,698,749.72
  5. Step 5: Solve for x
    x = 4,698,749.72/2,339.06
  6. Step 6: Final answer
    x = 2,008.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.