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Finding the Fourth Proportional to 2,046.65, 3,069.98 and 585.81

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Solution

The fourth proportional to 2,046.65, 3,069.98 and 585.81 is: 878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.65 : 3,069.98 = 585.81 : x
  2. Step 2: Convert to fraction form
    2,046.65/3,069.98 = 585.81/x
  3. Step 3: Cross multiply
    2,046.65x = 3,069.98 × 585.81
  4. Step 4: Simplify right side
    2,046.65x = 1,798,424.98
  5. Step 5: Solve for x
    x = 1,798,424.98/2,046.65
  6. Step 6: Final answer
    x = 878.72

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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.