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Finding the Fourth Proportional to 1,413.16, 1,947.18 and 1,325.68

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Solution

The fourth proportional to 1,413.16, 1,947.18 and 1,325.68 is: 1,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.16 : 1,947.18 = 1,325.68 : x
  2. Step 2: Convert to fraction form
    1,413.16/1,947.18 = 1,325.68/x
  3. Step 3: Cross multiply
    1,413.16x = 1,947.18 × 1,325.68
  4. Step 4: Simplify right side
    1,413.16x = 2,581,337.58
  5. Step 5: Solve for x
    x = 2,581,337.58/1,413.16
  6. Step 6: Final answer
    x = 1,826.64

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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.