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Finding the Fourth Proportional to 2,328.03, 3,211.92 and 1,333.20

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Solution

The fourth proportional to 2,328.03, 3,211.92 and 1,333.20 is: 1,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.03 : 3,211.92 = 1,333.20 : x
  2. Step 2: Convert to fraction form
    2,328.03/3,211.92 = 1,333.20/x
  3. Step 3: Cross multiply
    2,328.03x = 3,211.92 × 1,333.20
  4. Step 4: Simplify right side
    2,328.03x = 4,282,131.74
  5. Step 5: Solve for x
    x = 4,282,131.74/2,328.03
  6. Step 6: Final answer
    x = 1,839.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.