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Finding the Fourth Proportional to 2,064.67, 3,097.65 and 678.03

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Solution

The fourth proportional to 2,064.67, 3,097.65 and 678.03 is: 1,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.67 : 3,097.65 = 678.03 : x
  2. Step 2: Convert to fraction form
    2,064.67/3,097.65 = 678.03/x
  3. Step 3: Cross multiply
    2,064.67x = 3,097.65 × 678.03
  4. Step 4: Simplify right side
    2,064.67x = 2,100,299.63
  5. Step 5: Solve for x
    x = 2,100,299.63/2,064.67
  6. Step 6: Final answer
    x = 1,017.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.