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Finding the Fourth Proportional to 1,413.08, 1,951.80 and 1,019.42

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Solution

The fourth proportional to 1,413.08, 1,951.80 and 1,019.42 is: 1,408.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.08 : 1,951.80 = 1,019.42 : x
  2. Step 2: Convert to fraction form
    1,413.08/1,951.80 = 1,019.42/x
  3. Step 3: Cross multiply
    1,413.08x = 1,951.80 × 1,019.42
  4. Step 4: Simplify right side
    1,413.08x = 1,989,703.96
  5. Step 5: Solve for x
    x = 1,989,703.96/1,413.08
  6. Step 6: Final answer
    x = 1,408.06

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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.