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Finding the Fourth Proportional to 1,772.96, 2,654.96 and 1,404.32

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Solution

The fourth proportional to 1,772.96, 2,654.96 and 1,404.32 is: 2,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.96 : 2,654.96 = 1,404.32 : x
  2. Step 2: Convert to fraction form
    1,772.96/2,654.96 = 1,404.32/x
  3. Step 3: Cross multiply
    1,772.96x = 2,654.96 × 1,404.32
  4. Step 4: Simplify right side
    1,772.96x = 3,728,413.43
  5. Step 5: Solve for x
    x = 3,728,413.43/1,772.96
  6. Step 6: Final answer
    x = 2,102.93

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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.