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Finding the Fourth Proportional to 2,252.21, 3,378.22 and 586.34

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Solution

The fourth proportional to 2,252.21, 3,378.22 and 586.34 is: 879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.21 : 3,378.22 = 586.34 : x
  2. Step 2: Convert to fraction form
    2,252.21/3,378.22 = 586.34/x
  3. Step 3: Cross multiply
    2,252.21x = 3,378.22 × 586.34
  4. Step 4: Simplify right side
    2,252.21x = 1,980,783.12
  5. Step 5: Solve for x
    x = 1,980,783.12/2,252.21
  6. Step 6: Final answer
    x = 879.49

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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.