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Finding the Fourth Proportional to 2,586.36, 3,878.60 and 942.52

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Solution

The fourth proportional to 2,586.36, 3,878.60 and 942.52 is: 1,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.36 : 3,878.60 = 942.52 : x
  2. Step 2: Convert to fraction form
    2,586.36/3,878.60 = 942.52/x
  3. Step 3: Cross multiply
    2,586.36x = 3,878.60 × 942.52
  4. Step 4: Simplify right side
    2,586.36x = 3,655,658.07
  5. Step 5: Solve for x
    x = 3,655,658.07/2,586.36
  6. Step 6: Final answer
    x = 1,413.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.