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Finding the Fourth Proportional to 2,181.76, 3,272.75 and 795.07

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Solution

The fourth proportional to 2,181.76, 3,272.75 and 795.07 is: 1,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.76 : 3,272.75 = 795.07 : x
  2. Step 2: Convert to fraction form
    2,181.76/3,272.75 = 795.07/x
  3. Step 3: Cross multiply
    2,181.76x = 3,272.75 × 795.07
  4. Step 4: Simplify right side
    2,181.76x = 2,602,054.50
  5. Step 5: Solve for x
    x = 2,602,054.50/2,181.76
  6. Step 6: Final answer
    x = 1,192.64

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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.