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Finding the Fourth Proportional to 2,962.84, 4,444.26 and 2,384.50

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Solution

The fourth proportional to 2,962.84, 4,444.26 and 2,384.50 is: 3,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.84 : 4,444.26 = 2,384.50 : x
  2. Step 2: Convert to fraction form
    2,962.84/4,444.26 = 2,384.50/x
  3. Step 3: Cross multiply
    2,962.84x = 4,444.26 × 2,384.50
  4. Step 4: Simplify right side
    2,962.84x = 10,597,337.97
  5. Step 5: Solve for x
    x = 10,597,337.97/2,962.84
  6. Step 6: Final answer
    x = 3,576.75

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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.