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Finding the Fourth Proportional to 1,413.55, 1,947.03 and 1,177.03

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Solution

The fourth proportional to 1,413.55, 1,947.03 and 1,177.03 is: 1,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.55 : 1,947.03 = 1,177.03 : x
  2. Step 2: Convert to fraction form
    1,413.55/1,947.03 = 1,177.03/x
  3. Step 3: Cross multiply
    1,413.55x = 1,947.03 × 1,177.03
  4. Step 4: Simplify right side
    1,413.55x = 2,291,712.72
  5. Step 5: Solve for x
    x = 2,291,712.72/1,413.55
  6. Step 6: Final answer
    x = 1,621.25

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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.