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Finding the Fourth Proportional to 1,885.57, 2,603.44 and 1,257.58

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Solution

The fourth proportional to 1,885.57, 2,603.44 and 1,257.58 is: 1,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.57 : 2,603.44 = 1,257.58 : x
  2. Step 2: Convert to fraction form
    1,885.57/2,603.44 = 1,257.58/x
  3. Step 3: Cross multiply
    1,885.57x = 2,603.44 × 1,257.58
  4. Step 4: Simplify right side
    1,885.57x = 3,274,021.28
  5. Step 5: Solve for x
    x = 3,274,021.28/1,885.57
  6. Step 6: Final answer
    x = 1,736.36

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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.