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Finding the Fourth Proportional to 2,149.94, 2,966.12 and 1,362.62

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Solution

The fourth proportional to 2,149.94, 2,966.12 and 1,362.62 is: 1,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.94 : 2,966.12 = 1,362.62 : x
  2. Step 2: Convert to fraction form
    2,149.94/2,966.12 = 1,362.62/x
  3. Step 3: Cross multiply
    2,149.94x = 2,966.12 × 1,362.62
  4. Step 4: Simplify right side
    2,149.94x = 4,041,700.15
  5. Step 5: Solve for x
    x = 4,041,700.15/2,149.94
  6. Step 6: Final answer
    x = 1,879.91

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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.