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Finding the Fourth Proportional to 2,070.27, 3,103.94 and 974.07

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Solution

The fourth proportional to 2,070.27, 3,103.94 and 974.07 is: 1,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.27 : 3,103.94 = 974.07 : x
  2. Step 2: Convert to fraction form
    2,070.27/3,103.94 = 974.07/x
  3. Step 3: Cross multiply
    2,070.27x = 3,103.94 × 974.07
  4. Step 4: Simplify right side
    2,070.27x = 3,023,449.97
  5. Step 5: Solve for x
    x = 3,023,449.97/2,070.27
  6. Step 6: Final answer
    x = 1,460.41

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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.