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Finding the Fourth Proportional to 2,705.50, 4,037.32 and 2,413.90

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Solution

The fourth proportional to 2,705.50, 4,037.32 and 2,413.90 is: 3,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.50 : 4,037.32 = 2,413.90 : x
  2. Step 2: Convert to fraction form
    2,705.50/4,037.32 = 2,413.90/x
  3. Step 3: Cross multiply
    2,705.50x = 4,037.32 × 2,413.90
  4. Step 4: Simplify right side
    2,705.50x = 9,745,686.75
  5. Step 5: Solve for x
    x = 9,745,686.75/2,705.50
  6. Step 6: Final answer
    x = 3,602.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.