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Finding the Fourth Proportional to 2,064.81, 3,097.42 and 678.15

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Solution

The fourth proportional to 2,064.81, 3,097.42 and 678.15 is: 1,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.81 : 3,097.42 = 678.15 : x
  2. Step 2: Convert to fraction form
    2,064.81/3,097.42 = 678.15/x
  3. Step 3: Cross multiply
    2,064.81x = 3,097.42 × 678.15
  4. Step 4: Simplify right side
    2,064.81x = 2,100,504.24
  5. Step 5: Solve for x
    x = 2,100,504.24/2,064.81
  6. Step 6: Final answer
    x = 1,017.29

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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.