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Finding the Fourth Proportional to 2,962.45, 4,443.32 and 882.44

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Solution

The fourth proportional to 2,962.45, 4,443.32 and 882.44 is: 1,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.45 : 4,443.32 = 882.44 : x
  2. Step 2: Convert to fraction form
    2,962.45/4,443.32 = 882.44/x
  3. Step 3: Cross multiply
    2,962.45x = 4,443.32 × 882.44
  4. Step 4: Simplify right side
    2,962.45x = 3,920,963.30
  5. Step 5: Solve for x
    x = 3,920,963.30/2,962.45
  6. Step 6: Final answer
    x = 1,323.55

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1.5x scale

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.