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Finding the Fourth Proportional to 2,223.32, 3,334.82 and 579.80

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Solution

The fourth proportional to 2,223.32, 3,334.82 and 579.80 is: 869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.32 : 3,334.82 = 579.80 : x
  2. Step 2: Convert to fraction form
    2,223.32/3,334.82 = 579.80/x
  3. Step 3: Cross multiply
    2,223.32x = 3,334.82 × 579.80
  4. Step 4: Simplify right side
    2,223.32x = 1,933,534.07
  5. Step 5: Solve for x
    x = 1,933,534.07/2,223.32
  6. Step 6: Final answer
    x = 869.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.