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Finding the Fourth Proportional to 2,696.46, 3,712.95 and 2,302.62

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Solution

The fourth proportional to 2,696.46, 3,712.95 and 2,302.62 is: 3,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.46 : 3,712.95 = 2,302.62 : x
  2. Step 2: Convert to fraction form
    2,696.46/3,712.95 = 2,302.62/x
  3. Step 3: Cross multiply
    2,696.46x = 3,712.95 × 2,302.62
  4. Step 4: Simplify right side
    2,696.46x = 8,549,512.93
  5. Step 5: Solve for x
    x = 8,549,512.93/2,696.46
  6. Step 6: Final answer
    x = 3,170.64

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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.