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Finding the Fourth Proportional to 2,135.04, 3,202.72 and 596

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Solution

The fourth proportional to 2,135.04, 3,202.72 and 596 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.04 : 3,202.72 = 596 : x
  2. Step 2: Convert to fraction form
    2,135.04/3,202.72 = 596/x
  3. Step 3: Cross multiply
    2,135.04x = 3,202.72 × 596
  4. Step 4: Simplify right side
    2,135.04x = 1,908,821.12
  5. Step 5: Solve for x
    x = 1,908,821.12/2,135.04
  6. Step 6: Final answer
    x = 894.04

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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.