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Finding the Fourth Proportional to 2,070.21, 3,105.60 and 609.15

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Solution

The fourth proportional to 2,070.21, 3,105.60 and 609.15 is: 913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.21 : 3,105.60 = 609.15 : x
  2. Step 2: Convert to fraction form
    2,070.21/3,105.60 = 609.15/x
  3. Step 3: Cross multiply
    2,070.21x = 3,105.60 × 609.15
  4. Step 4: Simplify right side
    2,070.21x = 1,891,776.24
  5. Step 5: Solve for x
    x = 1,891,776.24/2,070.21
  6. Step 6: Final answer
    x = 913.81

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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.