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Finding the Fourth Proportional to 3,271.84, 4,907.82 and 963.40

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Solution

The fourth proportional to 3,271.84, 4,907.82 and 963.40 is: 1,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.84 : 4,907.82 = 963.40 : x
  2. Step 2: Convert to fraction form
    3,271.84/4,907.82 = 963.40/x
  3. Step 3: Cross multiply
    3,271.84x = 4,907.82 × 963.40
  4. Step 4: Simplify right side
    3,271.84x = 4,728,193.79
  5. Step 5: Solve for x
    x = 4,728,193.79/3,271.84
  6. Step 6: Final answer
    x = 1,445.12

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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.