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Finding the Fourth Proportional to 2,223.52, 3,335.40 and 580.12

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Solution

The fourth proportional to 2,223.52, 3,335.40 and 580.12 is: 870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.52 : 3,335.40 = 580.12 : x
  2. Step 2: Convert to fraction form
    2,223.52/3,335.40 = 580.12/x
  3. Step 3: Cross multiply
    2,223.52x = 3,335.40 × 580.12
  4. Step 4: Simplify right side
    2,223.52x = 1,934,932.25
  5. Step 5: Solve for x
    x = 1,934,932.25/2,223.52
  6. Step 6: Final answer
    x = 870.21

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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.