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Finding the Fourth Proportional to 2,689.16, 4,033.56 and 840.10

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Solution

The fourth proportional to 2,689.16, 4,033.56 and 840.10 is: 1,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.16 : 4,033.56 = 840.10 : x
  2. Step 2: Convert to fraction form
    2,689.16/4,033.56 = 840.10/x
  3. Step 3: Cross multiply
    2,689.16x = 4,033.56 × 840.10
  4. Step 4: Simplify right side
    2,689.16x = 3,388,593.76
  5. Step 5: Solve for x
    x = 3,388,593.76/2,689.16
  6. Step 6: Final answer
    x = 1,260.09

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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.