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Finding the Fourth Proportional to 2,170.07, 3,255.06 and 526.55

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Solution

The fourth proportional to 2,170.07, 3,255.06 and 526.55 is: 789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.07 : 3,255.06 = 526.55 : x
  2. Step 2: Convert to fraction form
    2,170.07/3,255.06 = 526.55/x
  3. Step 3: Cross multiply
    2,170.07x = 3,255.06 × 526.55
  4. Step 4: Simplify right side
    2,170.07x = 1,713,954.37
  5. Step 5: Solve for x
    x = 1,713,954.37/2,170.07
  6. Step 6: Final answer
    x = 789.82

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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.