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Finding the Fourth Proportional to 2,070.02, 3,105.62 and 609.17

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Solution

The fourth proportional to 2,070.02, 3,105.62 and 609.17 is: 913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.02 : 3,105.62 = 609.17 : x
  2. Step 2: Convert to fraction form
    2,070.02/3,105.62 = 609.17/x
  3. Step 3: Cross multiply
    2,070.02x = 3,105.62 × 609.17
  4. Step 4: Simplify right side
    2,070.02x = 1,891,855.14
  5. Step 5: Solve for x
    x = 1,891,855.14/2,070.02
  6. Step 6: Final answer
    x = 913.93

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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.