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Finding the Fourth Proportional to 1,792.21, 2,686.04 and 971.18

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Solution

The fourth proportional to 1,792.21, 2,686.04 and 971.18 is: 1,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.21 : 2,686.04 = 971.18 : x
  2. Step 2: Convert to fraction form
    1,792.21/2,686.04 = 971.18/x
  3. Step 3: Cross multiply
    1,792.21x = 2,686.04 × 971.18
  4. Step 4: Simplify right side
    1,792.21x = 2,608,628.33
  5. Step 5: Solve for x
    x = 2,608,628.33/1,792.21
  6. Step 6: Final answer
    x = 1,455.54

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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.