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Finding the Fourth Proportional to 2,962.76, 4,442.38 and 2,524.21

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Solution

The fourth proportional to 2,962.76, 4,442.38 and 2,524.21 is: 3,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.76 : 4,442.38 = 2,524.21 : x
  2. Step 2: Convert to fraction form
    2,962.76/4,442.38 = 2,524.21/x
  3. Step 3: Cross multiply
    2,962.76x = 4,442.38 × 2,524.21
  4. Step 4: Simplify right side
    2,962.76x = 11,213,482.60
  5. Step 5: Solve for x
    x = 11,213,482.60/2,962.76
  6. Step 6: Final answer
    x = 3,784.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.