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Finding the Fourth Proportional to 3,271.25, 4,907.82 and 962.75

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Solution

The fourth proportional to 3,271.25, 4,907.82 and 962.75 is: 1,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.25 : 4,907.82 = 962.75 : x
  2. Step 2: Convert to fraction form
    3,271.25/4,907.82 = 962.75/x
  3. Step 3: Cross multiply
    3,271.25x = 4,907.82 × 962.75
  4. Step 4: Simplify right side
    3,271.25x = 4,725,003.71
  5. Step 5: Solve for x
    x = 4,725,003.71/3,271.25
  6. Step 6: Final answer
    x = 1,444.40

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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.