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Finding the Fourth Proportional to 2,046.15, 3,069.09 and 876.15

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Solution

The fourth proportional to 2,046.15, 3,069.09 and 876.15 is: 1,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.15 : 3,069.09 = 876.15 : x
  2. Step 2: Convert to fraction form
    2,046.15/3,069.09 = 876.15/x
  3. Step 3: Cross multiply
    2,046.15x = 3,069.09 × 876.15
  4. Step 4: Simplify right side
    2,046.15x = 2,688,983.20
  5. Step 5: Solve for x
    x = 2,688,983.20/2,046.15
  6. Step 6: Final answer
    x = 1,314.17

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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.