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Finding the Fourth Proportional to 2,046.14, 3,068.50 and 584.90

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Solution

The fourth proportional to 2,046.14, 3,068.50 and 584.90 is: 877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.14 : 3,068.50 = 584.90 : x
  2. Step 2: Convert to fraction form
    2,046.14/3,068.50 = 584.90/x
  3. Step 3: Cross multiply
    2,046.14x = 3,068.50 × 584.90
  4. Step 4: Simplify right side
    2,046.14x = 1,794,765.65
  5. Step 5: Solve for x
    x = 1,794,765.65/2,046.14
  6. Step 6: Final answer
    x = 877.15

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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.