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Finding the Fourth Proportional to 2,223.54, 3,335.51 and 580.09

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Solution

The fourth proportional to 2,223.54, 3,335.51 and 580.09 is: 870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.54 : 3,335.51 = 580.09 : x
  2. Step 2: Convert to fraction form
    2,223.54/3,335.51 = 580.09/x
  3. Step 3: Cross multiply
    2,223.54x = 3,335.51 × 580.09
  4. Step 4: Simplify right side
    2,223.54x = 1,934,896.00
  5. Step 5: Solve for x
    x = 1,934,896.00/2,223.54
  6. Step 6: Final answer
    x = 870.19

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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.