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Finding the Fourth Proportional to 2,066.93, 3,100.38 and 971.29

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Solution

The fourth proportional to 2,066.93, 3,100.38 and 971.29 is: 1,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.93 : 3,100.38 = 971.29 : x
  2. Step 2: Convert to fraction form
    2,066.93/3,100.38 = 971.29/x
  3. Step 3: Cross multiply
    2,066.93x = 3,100.38 × 971.29
  4. Step 4: Simplify right side
    2,066.93x = 3,011,352.59
  5. Step 5: Solve for x
    x = 3,011,352.59/2,066.93
  6. Step 6: Final answer
    x = 1,456.92

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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.