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Finding the Fourth Proportional to 2,046.16, 3,069.66 and 659.08

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Solution

The fourth proportional to 2,046.16, 3,069.66 and 659.08 is: 988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.16 : 3,069.66 = 659.08 : x
  2. Step 2: Convert to fraction form
    2,046.16/3,069.66 = 659.08/x
  3. Step 3: Cross multiply
    2,046.16x = 3,069.66 × 659.08
  4. Step 4: Simplify right side
    2,046.16x = 2,023,151.51
  5. Step 5: Solve for x
    x = 2,023,151.51/2,046.16
  6. Step 6: Final answer
    x = 988.76

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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.