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Finding the Fourth Proportional to 1,803.12, 2,702.16 and 1,413.60

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Solution

The fourth proportional to 1,803.12, 2,702.16 and 1,413.60 is: 2,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.12 : 2,702.16 = 1,413.60 : x
  2. Step 2: Convert to fraction form
    1,803.12/2,702.16 = 1,413.60/x
  3. Step 3: Cross multiply
    1,803.12x = 2,702.16 × 1,413.60
  4. Step 4: Simplify right side
    1,803.12x = 3,819,773.38
  5. Step 5: Solve for x
    x = 3,819,773.38/1,803.12
  6. Step 6: Final answer
    x = 2,118.42

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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.