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Finding the Fourth Proportional to 2,696.40, 4,016.26 and 2,570

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Solution

The fourth proportional to 2,696.40, 4,016.26 and 2,570 is: 3,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.40 : 4,016.26 = 2,570 : x
  2. Step 2: Convert to fraction form
    2,696.40/4,016.26 = 2,570/x
  3. Step 3: Cross multiply
    2,696.40x = 4,016.26 × 2,570
  4. Step 4: Simplify right side
    2,696.40x = 10,321,788.20
  5. Step 5: Solve for x
    x = 10,321,788.20/2,696.40
  6. Step 6: Final answer
    x = 3,827.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.