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Finding the Fourth Proportional to 2,257.22, 3,385.02 and 958.25

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Solution

The fourth proportional to 2,257.22, 3,385.02 and 958.25 is: 1,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.22 : 3,385.02 = 958.25 : x
  2. Step 2: Convert to fraction form
    2,257.22/3,385.02 = 958.25/x
  3. Step 3: Cross multiply
    2,257.22x = 3,385.02 × 958.25
  4. Step 4: Simplify right side
    2,257.22x = 3,243,695.42
  5. Step 5: Solve for x
    x = 3,243,695.42/2,257.22
  6. Step 6: Final answer
    x = 1,437.03

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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.