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Finding the Fourth Proportional to 2,804.76, 4,205.07 and 2,115.86

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Solution

The fourth proportional to 2,804.76, 4,205.07 and 2,115.86 is: 3,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.76 : 4,205.07 = 2,115.86 : x
  2. Step 2: Convert to fraction form
    2,804.76/4,205.07 = 2,115.86/x
  3. Step 3: Cross multiply
    2,804.76x = 4,205.07 × 2,115.86
  4. Step 4: Simplify right side
    2,804.76x = 8,897,318.38
  5. Step 5: Solve for x
    x = 8,897,318.38/2,804.76
  6. Step 6: Final answer
    x = 3,172.22

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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.