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Finding the Fourth Proportional to 2,402.06, 3,603.08 and 2,190.65

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Solution

The fourth proportional to 2,402.06, 3,603.08 and 2,190.65 is: 3,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.06 : 3,603.08 = 2,190.65 : x
  2. Step 2: Convert to fraction form
    2,402.06/3,603.08 = 2,190.65/x
  3. Step 3: Cross multiply
    2,402.06x = 3,603.08 × 2,190.65
  4. Step 4: Simplify right side
    2,402.06x = 7,893,074.66
  5. Step 5: Solve for x
    x = 7,893,074.66/2,402.06
  6. Step 6: Final answer
    x = 3,285.97

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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.