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Finding the Fourth Proportional to 2,192.37, 3,024.97 and 1,308

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Solution

The fourth proportional to 2,192.37, 3,024.97 and 1,308 is: 1,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.37 : 3,024.97 = 1,308 : x
  2. Step 2: Convert to fraction form
    2,192.37/3,024.97 = 1,308/x
  3. Step 3: Cross multiply
    2,192.37x = 3,024.97 × 1,308
  4. Step 4: Simplify right side
    2,192.37x = 3,956,664.03
  5. Step 5: Solve for x
    x = 3,956,664.03/2,192.37
  6. Step 6: Final answer
    x = 1,804.74

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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.