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Finding the Fourth Proportional to 2,966.61, 4,450.02 and 2,274.54

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Solution

The fourth proportional to 2,966.61, 4,450.02 and 2,274.54 is: 3,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.61 : 4,450.02 = 2,274.54 : x
  2. Step 2: Convert to fraction form
    2,966.61/4,450.02 = 2,274.54/x
  3. Step 3: Cross multiply
    2,966.61x = 4,450.02 × 2,274.54
  4. Step 4: Simplify right side
    2,966.61x = 10,121,748.49
  5. Step 5: Solve for x
    x = 10,121,748.49/2,966.61
  6. Step 6: Final answer
    x = 3,411.89

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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.