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Finding the Fourth Proportional to 2,737.70, 4,106.55 and 2,413.70

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Solution

The fourth proportional to 2,737.70, 4,106.55 and 2,413.70 is: 3,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.70 : 4,106.55 = 2,413.70 : x
  2. Step 2: Convert to fraction form
    2,737.70/4,106.55 = 2,413.70/x
  3. Step 3: Cross multiply
    2,737.70x = 4,106.55 × 2,413.70
  4. Step 4: Simplify right side
    2,737.70x = 9,911,979.74
  5. Step 5: Solve for x
    x = 9,911,979.74/2,737.70
  6. Step 6: Final answer
    x = 3,620.55

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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.