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Finding the Fourth Proportional to 2,323.65, 3,478.91 and 2,104.68

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Solution

The fourth proportional to 2,323.65, 3,478.91 and 2,104.68 is: 3,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.65 : 3,478.91 = 2,104.68 : x
  2. Step 2: Convert to fraction form
    2,323.65/3,478.91 = 2,104.68/x
  3. Step 3: Cross multiply
    2,323.65x = 3,478.91 × 2,104.68
  4. Step 4: Simplify right side
    2,323.65x = 7,321,981.78
  5. Step 5: Solve for x
    x = 7,321,981.78/2,323.65
  6. Step 6: Final answer
    x = 3,151.07

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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.