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Finding the Fourth Proportional to 2,337.22, 3,224 and 1,509.22

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Solution

The fourth proportional to 2,337.22, 3,224 and 1,509.22 is: 2,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.22 : 3,224 = 1,509.22 : x
  2. Step 2: Convert to fraction form
    2,337.22/3,224 = 1,509.22/x
  3. Step 3: Cross multiply
    2,337.22x = 3,224 × 1,509.22
  4. Step 4: Simplify right side
    2,337.22x = 4,865,725.28
  5. Step 5: Solve for x
    x = 4,865,725.28/2,337.22
  6. Step 6: Final answer
    x = 2,081.84

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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.