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Finding the Fourth Proportional to 2,963.62, 4,446.48 and 1,320.02

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Solution

The fourth proportional to 2,963.62, 4,446.48 and 1,320.02 is: 1,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.62 : 4,446.48 = 1,320.02 : x
  2. Step 2: Convert to fraction form
    2,963.62/4,446.48 = 1,320.02/x
  3. Step 3: Cross multiply
    2,963.62x = 4,446.48 × 1,320.02
  4. Step 4: Simplify right side
    2,963.62x = 5,869,442.53
  5. Step 5: Solve for x
    x = 5,869,442.53/2,963.62
  6. Step 6: Final answer
    x = 1,980.50

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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.