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Finding the Fourth Proportional to 3,023.07, 4,172.07 and 1,696.86

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Solution

The fourth proportional to 3,023.07, 4,172.07 and 1,696.86 is: 2,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.07 : 4,172.07 = 1,696.86 : x
  2. Step 2: Convert to fraction form
    3,023.07/4,172.07 = 1,696.86/x
  3. Step 3: Cross multiply
    3,023.07x = 4,172.07 × 1,696.86
  4. Step 4: Simplify right side
    3,023.07x = 7,079,418.70
  5. Step 5: Solve for x
    x = 7,079,418.70/3,023.07
  6. Step 6: Final answer
    x = 2,341.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.