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Finding the Fourth Proportional to 2,046.07, 3,069.62 and 585.24

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Solution

The fourth proportional to 2,046.07, 3,069.62 and 585.24 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.07 : 3,069.62 = 585.24 : x
  2. Step 2: Convert to fraction form
    2,046.07/3,069.62 = 585.24/x
  3. Step 3: Cross multiply
    2,046.07x = 3,069.62 × 585.24
  4. Step 4: Simplify right side
    2,046.07x = 1,796,464.41
  5. Step 5: Solve for x
    x = 1,796,464.41/2,046.07
  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.