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Finding the Fourth Proportional to 2,624.22, 3,937.23 and 894.06

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Solution

The fourth proportional to 2,624.22, 3,937.23 and 894.06 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.22 : 3,937.23 = 894.06 : x
  2. Step 2: Convert to fraction form
    2,624.22/3,937.23 = 894.06/x
  3. Step 3: Cross multiply
    2,624.22x = 3,937.23 × 894.06
  4. Step 4: Simplify right side
    2,624.22x = 3,520,119.85
  5. Step 5: Solve for x
    x = 3,520,119.85/2,624.22
  6. Step 6: Final answer
    x = 1,341.40

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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.