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Finding the Fourth Proportional to 1,413.49, 2,119.90 and 591.32

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Solution

The fourth proportional to 1,413.49, 2,119.90 and 591.32 is: 886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.49 : 2,119.90 = 591.32 : x
  2. Step 2: Convert to fraction form
    1,413.49/2,119.90 = 591.32/x
  3. Step 3: Cross multiply
    1,413.49x = 2,119.90 × 591.32
  4. Step 4: Simplify right side
    1,413.49x = 1,253,539.27
  5. Step 5: Solve for x
    x = 1,253,539.27/1,413.49
  6. Step 6: Final answer
    x = 886.84

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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.