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Finding the Fourth Proportional to 1,512.65, 2,087.70 and 1,413.83

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Solution

The fourth proportional to 1,512.65, 2,087.70 and 1,413.83 is: 1,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.65 : 2,087.70 = 1,413.83 : x
  2. Step 2: Convert to fraction form
    1,512.65/2,087.70 = 1,413.83/x
  3. Step 3: Cross multiply
    1,512.65x = 2,087.70 × 1,413.83
  4. Step 4: Simplify right side
    1,512.65x = 2,951,652.89
  5. Step 5: Solve for x
    x = 2,951,652.89/1,512.65
  6. Step 6: Final answer
    x = 1,951.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.