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Finding the Fourth Proportional to 3,056.67, 4,588.04 and 1,413.58

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Solution

The fourth proportional to 3,056.67, 4,588.04 and 1,413.58 is: 2,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.67 : 4,588.04 = 1,413.58 : x
  2. Step 2: Convert to fraction form
    3,056.67/4,588.04 = 1,413.58/x
  3. Step 3: Cross multiply
    3,056.67x = 4,588.04 × 1,413.58
  4. Step 4: Simplify right side
    3,056.67x = 6,485,561.58
  5. Step 5: Solve for x
    x = 6,485,561.58/3,056.67
  6. Step 6: Final answer
    x = 2,121.77

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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.