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Finding the Fourth Proportional to 2,323.87, 3,485.84 and 680.45

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Solution

The fourth proportional to 2,323.87, 3,485.84 and 680.45 is: 1,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.87 : 3,485.84 = 680.45 : x
  2. Step 2: Convert to fraction form
    2,323.87/3,485.84 = 680.45/x
  3. Step 3: Cross multiply
    2,323.87x = 3,485.84 × 680.45
  4. Step 4: Simplify right side
    2,323.87x = 2,371,939.83
  5. Step 5: Solve for x
    x = 2,371,939.83/2,323.87
  6. Step 6: Final answer
    x = 1,020.69

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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.