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Finding the Fourth Proportional to 2,181.47, 3,272.47 and 795.45

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Solution

The fourth proportional to 2,181.47, 3,272.47 and 795.45 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.47 : 3,272.47 = 795.45 : x
  2. Step 2: Convert to fraction form
    2,181.47/3,272.47 = 795.45/x
  3. Step 3: Cross multiply
    2,181.47x = 3,272.47 × 795.45
  4. Step 4: Simplify right side
    2,181.47x = 2,603,096.54
  5. Step 5: Solve for x
    x = 2,603,096.54/2,181.47
  6. Step 6: Final answer
    x = 1,193.28

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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.