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Finding the Fourth Proportional to 2,696.94, 4,045.95 and 965.34

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Solution

The fourth proportional to 2,696.94, 4,045.95 and 965.34 is: 1,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.94 : 4,045.95 = 965.34 : x
  2. Step 2: Convert to fraction form
    2,696.94/4,045.95 = 965.34/x
  3. Step 3: Cross multiply
    2,696.94x = 4,045.95 × 965.34
  4. Step 4: Simplify right side
    2,696.94x = 3,905,717.37
  5. Step 5: Solve for x
    x = 3,905,717.37/2,696.94
  6. Step 6: Final answer
    x = 1,448.20

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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.