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Finding the Fourth Proportional to 1,413.95, 2,117.27 and 976.55

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Solution

The fourth proportional to 1,413.95, 2,117.27 and 976.55 is: 1,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.95 : 2,117.27 = 976.55 : x
  2. Step 2: Convert to fraction form
    1,413.95/2,117.27 = 976.55/x
  3. Step 3: Cross multiply
    1,413.95x = 2,117.27 × 976.55
  4. Step 4: Simplify right side
    1,413.95x = 2,067,627.75
  5. Step 5: Solve for x
    x = 2,067,627.75/1,413.95
  6. Step 6: Final answer
    x = 1,462.30

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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.