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Finding the Fourth Proportional to 2,247.32, 3,370.71 and 604

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Solution

The fourth proportional to 2,247.32, 3,370.71 and 604 is: 905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.32 : 3,370.71 = 604 : x
  2. Step 2: Convert to fraction form
    2,247.32/3,370.71 = 604/x
  3. Step 3: Cross multiply
    2,247.32x = 3,370.71 × 604
  4. Step 4: Simplify right side
    2,247.32x = 2,035,908.84
  5. Step 5: Solve for x
    x = 2,035,908.84/2,247.32
  6. Step 6: Final answer
    x = 905.93

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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.