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Finding the Fourth Proportional to 2,293.57, 3,440.32 and 562.21

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Solution

The fourth proportional to 2,293.57, 3,440.32 and 562.21 is: 843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.57 : 3,440.32 = 562.21 : x
  2. Step 2: Convert to fraction form
    2,293.57/3,440.32 = 562.21/x
  3. Step 3: Cross multiply
    2,293.57x = 3,440.32 × 562.21
  4. Step 4: Simplify right side
    2,293.57x = 1,934,182.31
  5. Step 5: Solve for x
    x = 1,934,182.31/2,293.57
  6. Step 6: Final answer
    x = 843.31

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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.