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Finding the Fourth Proportional to 2,971.54, 4,100.12 and 1,792.68

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Solution

The fourth proportional to 2,971.54, 4,100.12 and 1,792.68 is: 2,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.54 : 4,100.12 = 1,792.68 : x
  2. Step 2: Convert to fraction form
    2,971.54/4,100.12 = 1,792.68/x
  3. Step 3: Cross multiply
    2,971.54x = 4,100.12 × 1,792.68
  4. Step 4: Simplify right side
    2,971.54x = 7,350,203.12
  5. Step 5: Solve for x
    x = 7,350,203.12/2,971.54
  6. Step 6: Final answer
    x = 2,473.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.