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Finding the Fourth Proportional to 4,642.98, 6,962.98 and 1,522.14

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Solution

The fourth proportional to 4,642.98, 6,962.98 and 1,522.14 is: 2,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.98 : 6,962.98 = 1,522.14 : x
  2. Step 2: Convert to fraction form
    4,642.98/6,962.98 = 1,522.14/x
  3. Step 3: Cross multiply
    4,642.98x = 6,962.98 × 1,522.14
  4. Step 4: Simplify right side
    4,642.98x = 10,598,630.38
  5. Step 5: Solve for x
    x = 10,598,630.38/4,642.98
  6. Step 6: Final answer
    x = 2,282.72

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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.