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Finding the Fourth Proportional to 1,416.61, 1,954.69 and 892.27

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Solution

The fourth proportional to 1,416.61, 1,954.69 and 892.27 is: 1,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.61 : 1,954.69 = 892.27 : x
  2. Step 2: Convert to fraction form
    1,416.61/1,954.69 = 892.27/x
  3. Step 3: Cross multiply
    1,416.61x = 1,954.69 × 892.27
  4. Step 4: Simplify right side
    1,416.61x = 1,744,111.25
  5. Step 5: Solve for x
    x = 1,744,111.25/1,416.61
  6. Step 6: Final answer
    x = 1,231.19

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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.