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Finding the Fourth Proportional to 2,064.83, 3,097.34 and 659.40

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Solution

The fourth proportional to 2,064.83, 3,097.34 and 659.40 is: 989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.83 : 3,097.34 = 659.40 : x
  2. Step 2: Convert to fraction form
    2,064.83/3,097.34 = 659.40/x
  3. Step 3: Cross multiply
    2,064.83x = 3,097.34 × 659.40
  4. Step 4: Simplify right side
    2,064.83x = 2,042,370.51
  5. Step 5: Solve for x
    x = 2,042,370.51/2,064.83
  6. Step 6: Final answer
    x = 989.12

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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.