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Finding the Fourth Proportional to 1,843.41, 2,542.10 and 1,564.41

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Solution

The fourth proportional to 1,843.41, 2,542.10 and 1,564.41 is: 2,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.41 : 2,542.10 = 1,564.41 : x
  2. Step 2: Convert to fraction form
    1,843.41/2,542.10 = 1,564.41/x
  3. Step 3: Cross multiply
    1,843.41x = 2,542.10 × 1,564.41
  4. Step 4: Simplify right side
    1,843.41x = 3,976,878.84
  5. Step 5: Solve for x
    x = 3,976,878.84/1,843.41
  6. Step 6: Final answer
    x = 2,157.35

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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.