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Finding the Fourth Proportional to 2,007.05, 3,014.21 and 1,545.95

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Solution

The fourth proportional to 2,007.05, 3,014.21 and 1,545.95 is: 2,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.05 : 3,014.21 = 1,545.95 : x
  2. Step 2: Convert to fraction form
    2,007.05/3,014.21 = 1,545.95/x
  3. Step 3: Cross multiply
    2,007.05x = 3,014.21 × 1,545.95
  4. Step 4: Simplify right side
    2,007.05x = 4,659,829.35
  5. Step 5: Solve for x
    x = 4,659,829.35/2,007.05
  6. Step 6: Final answer
    x = 2,321.74

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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.