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Finding the Fourth Proportional to 1,709.93, 2,344.32 and 1,678.79

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Solution

The fourth proportional to 1,709.93, 2,344.32 and 1,678.79 is: 2,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.93 : 2,344.32 = 1,678.79 : x
  2. Step 2: Convert to fraction form
    1,709.93/2,344.32 = 1,678.79/x
  3. Step 3: Cross multiply
    1,709.93x = 2,344.32 × 1,678.79
  4. Step 4: Simplify right side
    1,709.93x = 3,935,626.83
  5. Step 5: Solve for x
    x = 3,935,626.83/1,709.93
  6. Step 6: Final answer
    x = 2,301.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.