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Finding the Fourth Proportional to 4,046.68, 6,068.55 and 1,413.45

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Solution

The fourth proportional to 4,046.68, 6,068.55 and 1,413.45 is: 2,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.68 : 6,068.55 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    4,046.68/6,068.55 = 1,413.45/x
  3. Step 3: Cross multiply
    4,046.68x = 6,068.55 × 1,413.45
  4. Step 4: Simplify right side
    4,046.68x = 8,577,592.00
  5. Step 5: Solve for x
    x = 8,577,592.00/4,046.68
  6. Step 6: Final answer
    x = 2,119.66

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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.