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Finding the Fourth Proportional to 1,413.90, 2,119.41 and 591.60

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Solution

The fourth proportional to 1,413.90, 2,119.41 and 591.60 is: 886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.90 : 2,119.41 = 591.60 : x
  2. Step 2: Convert to fraction form
    1,413.90/2,119.41 = 591.60/x
  3. Step 3: Cross multiply
    1,413.90x = 2,119.41 × 591.60
  4. Step 4: Simplify right side
    1,413.90x = 1,253,842.96
  5. Step 5: Solve for x
    x = 1,253,842.96/1,413.90
  6. Step 6: Final answer
    x = 886.80

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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.