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Finding the Fourth Proportional to 2,149.86, 3,225.87 and 1,603.14

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Solution

The fourth proportional to 2,149.86, 3,225.87 and 1,603.14 is: 2,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.86 : 3,225.87 = 1,603.14 : x
  2. Step 2: Convert to fraction form
    2,149.86/3,225.87 = 1,603.14/x
  3. Step 3: Cross multiply
    2,149.86x = 3,225.87 × 1,603.14
  4. Step 4: Simplify right side
    2,149.86x = 5,171,521.23
  5. Step 5: Solve for x
    x = 5,171,521.23/2,149.86
  6. Step 6: Final answer
    x = 2,405.52

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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.