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Finding the Fourth Proportional to 2,064.68, 3,097.02 and 697.64

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Solution

The fourth proportional to 2,064.68, 3,097.02 and 697.64 is: 1,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.68 : 3,097.02 = 697.64 : x
  2. Step 2: Convert to fraction form
    2,064.68/3,097.02 = 697.64/x
  3. Step 3: Cross multiply
    2,064.68x = 3,097.02 × 697.64
  4. Step 4: Simplify right side
    2,064.68x = 2,160,605.03
  5. Step 5: Solve for x
    x = 2,160,605.03/2,064.68
  6. Step 6: Final answer
    x = 1,046.46

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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.