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Finding the Fourth Proportional to 2,696.84, 4,045.16 and 965.42

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Solution

The fourth proportional to 2,696.84, 4,045.16 and 965.42 is: 1,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.84 : 4,045.16 = 965.42 : x
  2. Step 2: Convert to fraction form
    2,696.84/4,045.16 = 965.42/x
  3. Step 3: Cross multiply
    2,696.84x = 4,045.16 × 965.42
  4. Step 4: Simplify right side
    2,696.84x = 3,905,278.37
  5. Step 5: Solve for x
    x = 3,905,278.37/2,696.84
  6. Step 6: Final answer
    x = 1,448.09

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1.5x scale

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.