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Finding the Fourth Proportional to 2,170.14, 3,255.20 and 526.68

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Solution

The fourth proportional to 2,170.14, 3,255.20 and 526.68 is: 790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.14 : 3,255.20 = 526.68 : x
  2. Step 2: Convert to fraction form
    2,170.14/3,255.20 = 526.68/x
  3. Step 3: Cross multiply
    2,170.14x = 3,255.20 × 526.68
  4. Step 4: Simplify right side
    2,170.14x = 1,714,448.74
  5. Step 5: Solve for x
    x = 1,714,448.74/2,170.14
  6. Step 6: Final answer
    x = 790.02

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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.