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Finding the Fourth Proportional to 2,223.98, 3,336 and 580.42

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Solution

The fourth proportional to 2,223.98, 3,336 and 580.42 is: 870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.98 : 3,336 = 580.42 : x
  2. Step 2: Convert to fraction form
    2,223.98/3,336 = 580.42/x
  3. Step 3: Cross multiply
    2,223.98x = 3,336 × 580.42
  4. Step 4: Simplify right side
    2,223.98x = 1,936,281.12
  5. Step 5: Solve for x
    x = 1,936,281.12/2,223.98
  6. Step 6: Final answer
    x = 870.64

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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.