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Finding the Fourth Proportional to 2,170.26, 3,255.40 and 526.80

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Solution

The fourth proportional to 2,170.26, 3,255.40 and 526.80 is: 790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.26 : 3,255.40 = 526.80 : x
  2. Step 2: Convert to fraction form
    2,170.26/3,255.40 = 526.80/x
  3. Step 3: Cross multiply
    2,170.26x = 3,255.40 × 526.80
  4. Step 4: Simplify right side
    2,170.26x = 1,714,944.72
  5. Step 5: Solve for x
    x = 1,714,944.72/2,170.26
  6. Step 6: Final answer
    x = 790.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.