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Finding the Fourth Proportional to 2,295.43, 3,443.16 and 1,520.32

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Solution

The fourth proportional to 2,295.43, 3,443.16 and 1,520.32 is: 2,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.43 : 3,443.16 = 1,520.32 : x
  2. Step 2: Convert to fraction form
    2,295.43/3,443.16 = 1,520.32/x
  3. Step 3: Cross multiply
    2,295.43x = 3,443.16 × 1,520.32
  4. Step 4: Simplify right side
    2,295.43x = 5,234,705.01
  5. Step 5: Solve for x
    x = 5,234,705.01/2,295.43
  6. Step 6: Final answer
    x = 2,280.49

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1.5x scale

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.