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Finding the Fourth Proportional to 2,323.46, 3,485.67 and 784.58

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Solution

The fourth proportional to 2,323.46, 3,485.67 and 784.58 is: 1,177.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.46 : 3,485.67 = 784.58 : x
  2. Step 2: Convert to fraction form
    2,323.46/3,485.67 = 784.58/x
  3. Step 3: Cross multiply
    2,323.46x = 3,485.67 × 784.58
  4. Step 4: Simplify right side
    2,323.46x = 2,734,786.97
  5. Step 5: Solve for x
    x = 2,734,786.97/2,323.46
  6. Step 6: Final answer
    x = 1,177.03

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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.