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Finding the Fourth Proportional to 2,970.62, 4,102.84 and 2,024.78

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Solution

The fourth proportional to 2,970.62, 4,102.84 and 2,024.78 is: 2,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.62 : 4,102.84 = 2,024.78 : x
  2. Step 2: Convert to fraction form
    2,970.62/4,102.84 = 2,024.78/x
  3. Step 3: Cross multiply
    2,970.62x = 4,102.84 × 2,024.78
  4. Step 4: Simplify right side
    2,970.62x = 8,307,348.38
  5. Step 5: Solve for x
    x = 8,307,348.38/2,970.62
  6. Step 6: Final answer
    x = 2,796.50

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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.