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Finding the Fourth Proportional to 2,696.40, 4,047.84 and 2,000.16

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Solution

The fourth proportional to 2,696.40, 4,047.84 and 2,000.16 is: 3,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.40 : 4,047.84 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    2,696.40/4,047.84 = 2,000.16/x
  3. Step 3: Cross multiply
    2,696.40x = 4,047.84 × 2,000.16
  4. Step 4: Simplify right side
    2,696.40x = 8,096,327.65
  5. Step 5: Solve for x
    x = 8,096,327.65/2,696.40
  6. Step 6: Final answer
    x = 3,002.64

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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.