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Finding the Fourth Proportional to 2,188, 3,024.84 and 2,096.20

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Solution

The fourth proportional to 2,188, 3,024.84 and 2,096.20 is: 2,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,024.84 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    2,188/3,024.84 = 2,096.20/x
  3. Step 3: Cross multiply
    2,188x = 3,024.84 × 2,096.20
  4. Step 4: Simplify right side
    2,188x = 6,340,669.61
  5. Step 5: Solve for x
    x = 6,340,669.61/2,188
  6. Step 6: Final answer
    x = 2,897.93

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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.