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Finding the Fourth Proportional to 2,962.78, 4,443.60 and 988.42

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Solution

The fourth proportional to 2,962.78, 4,443.60 and 988.42 is: 1,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.78 : 4,443.60 = 988.42 : x
  2. Step 2: Convert to fraction form
    2,962.78/4,443.60 = 988.42/x
  3. Step 3: Cross multiply
    2,962.78x = 4,443.60 × 988.42
  4. Step 4: Simplify right side
    2,962.78x = 4,392,143.11
  5. Step 5: Solve for x
    x = 4,392,143.11/2,962.78
  6. Step 6: Final answer
    x = 1,482.44

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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.