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Finding the Fourth Proportional to 2,337, 3,224.76 and 1,342.32

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Solution

The fourth proportional to 2,337, 3,224.76 and 1,342.32 is: 1,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337 : 3,224.76 = 1,342.32 : x
  2. Step 2: Convert to fraction form
    2,337/3,224.76 = 1,342.32/x
  3. Step 3: Cross multiply
    2,337x = 3,224.76 × 1,342.32
  4. Step 4: Simplify right side
    2,337x = 4,328,659.84
  5. Step 5: Solve for x
    x = 4,328,659.84/2,337
  6. Step 6: Final answer
    x = 1,852.23

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1.5x scale

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.