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Finding the Fourth Proportional to 1,451.19, 2,003.68 and 892.41

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Solution

The fourth proportional to 1,451.19, 2,003.68 and 892.41 is: 1,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.19 : 2,003.68 = 892.41 : x
  2. Step 2: Convert to fraction form
    1,451.19/2,003.68 = 892.41/x
  3. Step 3: Cross multiply
    1,451.19x = 2,003.68 × 892.41
  4. Step 4: Simplify right side
    1,451.19x = 1,788,104.07
  5. Step 5: Solve for x
    x = 1,788,104.07/1,451.19
  6. Step 6: Final answer
    x = 1,232.16

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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.