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Finding the Fourth Proportional to 3,269.16, 4,509.54 and 2,025

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Solution

The fourth proportional to 3,269.16, 4,509.54 and 2,025 is: 2,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.16 : 4,509.54 = 2,025 : x
  2. Step 2: Convert to fraction form
    3,269.16/4,509.54 = 2,025/x
  3. Step 3: Cross multiply
    3,269.16x = 4,509.54 × 2,025
  4. Step 4: Simplify right side
    3,269.16x = 9,131,818.50
  5. Step 5: Solve for x
    x = 9,131,818.50/3,269.16
  6. Step 6: Final answer
    x = 2,793.32

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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.