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Finding the Fourth Proportional to 3,482.84, 4,806.24 and 2,085.50

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Solution

The fourth proportional to 3,482.84, 4,806.24 and 2,085.50 is: 2,877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.84 : 4,806.24 = 2,085.50 : x
  2. Step 2: Convert to fraction form
    3,482.84/4,806.24 = 2,085.50/x
  3. Step 3: Cross multiply
    3,482.84x = 4,806.24 × 2,085.50
  4. Step 4: Simplify right side
    3,482.84x = 10,023,413.52
  5. Step 5: Solve for x
    x = 10,023,413.52/3,482.84
  6. Step 6: Final answer
    x = 2,877.94

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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.