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Finding the Fourth Proportional to 2,046.28, 3,068.90 and 585.44

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Solution

The fourth proportional to 2,046.28, 3,068.90 and 585.44 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.28 : 3,068.90 = 585.44 : x
  2. Step 2: Convert to fraction form
    2,046.28/3,068.90 = 585.44/x
  3. Step 3: Cross multiply
    2,046.28x = 3,068.90 × 585.44
  4. Step 4: Simplify right side
    2,046.28x = 1,796,656.82
  5. Step 5: Solve for x
    x = 1,796,656.82/2,046.28
  6. Step 6: Final answer
    x = 878.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.