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Finding the Fourth Proportional to 3,271.40, 4,905.58 and 962.44

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Solution

The fourth proportional to 3,271.40, 4,905.58 and 962.44 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.40 : 4,905.58 = 962.44 : x
  2. Step 2: Convert to fraction form
    3,271.40/4,905.58 = 962.44/x
  3. Step 3: Cross multiply
    3,271.40x = 4,905.58 × 962.44
  4. Step 4: Simplify right side
    3,271.40x = 4,721,326.42
  5. Step 5: Solve for x
    x = 4,721,326.42/3,271.40
  6. Step 6: Final answer
    x = 1,443.21

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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.