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Finding the Fourth Proportional to 3,233.91, 4,851.18 and 894.08

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Solution

The fourth proportional to 3,233.91, 4,851.18 and 894.08 is: 1,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.91 : 4,851.18 = 894.08 : x
  2. Step 2: Convert to fraction form
    3,233.91/4,851.18 = 894.08/x
  3. Step 3: Cross multiply
    3,233.91x = 4,851.18 × 894.08
  4. Step 4: Simplify right side
    3,233.91x = 4,337,318.76
  5. Step 5: Solve for x
    x = 4,337,318.76/3,233.91
  6. Step 6: Final answer
    x = 1,341.20

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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.