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Finding the Fourth Proportional to 1,853.61, 2,553.87 and 1,223.02

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Solution

The fourth proportional to 1,853.61, 2,553.87 and 1,223.02 is: 1,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.61 : 2,553.87 = 1,223.02 : x
  2. Step 2: Convert to fraction form
    1,853.61/2,553.87 = 1,223.02/x
  3. Step 3: Cross multiply
    1,853.61x = 2,553.87 × 1,223.02
  4. Step 4: Simplify right side
    1,853.61x = 3,123,434.09
  5. Step 5: Solve for x
    x = 3,123,434.09/1,853.61
  6. Step 6: Final answer
    x = 1,685.06

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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.