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Finding the Fourth Proportional to 2,962.28, 4,443.24 and 1,014.50

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Solution

The fourth proportional to 2,962.28, 4,443.24 and 1,014.50 is: 1,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.28 : 4,443.24 = 1,014.50 : x
  2. Step 2: Convert to fraction form
    2,962.28/4,443.24 = 1,014.50/x
  3. Step 3: Cross multiply
    2,962.28x = 4,443.24 × 1,014.50
  4. Step 4: Simplify right side
    2,962.28x = 4,507,666.98
  5. Step 5: Solve for x
    x = 4,507,666.98/2,962.28
  6. Step 6: Final answer
    x = 1,521.69

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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.