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Finding the Fourth Proportional to 2,807.46, 4,211.16 and 1,268.46

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Solution

The fourth proportional to 2,807.46, 4,211.16 and 1,268.46 is: 1,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.46 : 4,211.16 = 1,268.46 : x
  2. Step 2: Convert to fraction form
    2,807.46/4,211.16 = 1,268.46/x
  3. Step 3: Cross multiply
    2,807.46x = 4,211.16 × 1,268.46
  4. Step 4: Simplify right side
    2,807.46x = 5,341,688.01
  5. Step 5: Solve for x
    x = 5,341,688.01/2,807.46
  6. Step 6: Final answer
    x = 1,902.68

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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.