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Finding the Fourth Proportional to 1,853.94, 2,557.32 and 1,224.48

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Solution

The fourth proportional to 1,853.94, 2,557.32 and 1,224.48 is: 1,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.94 : 2,557.32 = 1,224.48 : x
  2. Step 2: Convert to fraction form
    1,853.94/2,557.32 = 1,224.48/x
  3. Step 3: Cross multiply
    1,853.94x = 2,557.32 × 1,224.48
  4. Step 4: Simplify right side
    1,853.94x = 3,131,387.19
  5. Step 5: Solve for x
    x = 3,131,387.19/1,853.94
  6. Step 6: Final answer
    x = 1,689.04

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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.