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Finding the Fourth Proportional to 2,292.37, 3,438.72 and 648.91

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Solution

The fourth proportional to 2,292.37, 3,438.72 and 648.91 is: 973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.37 : 3,438.72 = 648.91 : x
  2. Step 2: Convert to fraction form
    2,292.37/3,438.72 = 648.91/x
  3. Step 3: Cross multiply
    2,292.37x = 3,438.72 × 648.91
  4. Step 4: Simplify right side
    2,292.37x = 2,231,424.09
  5. Step 5: Solve for x
    x = 2,231,424.09/2,292.37
  6. Step 6: Final answer
    x = 973.41

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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.