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Finding the Fourth Proportional to 2,764.84, 4,144.38 and 1,465.96

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Solution

The fourth proportional to 2,764.84, 4,144.38 and 1,465.96 is: 2,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.84 : 4,144.38 = 1,465.96 : x
  2. Step 2: Convert to fraction form
    2,764.84/4,144.38 = 1,465.96/x
  3. Step 3: Cross multiply
    2,764.84x = 4,144.38 × 1,465.96
  4. Step 4: Simplify right side
    2,764.84x = 6,075,495.30
  5. Step 5: Solve for x
    x = 6,075,495.30/2,764.84
  6. Step 6: Final answer
    x = 2,197.41

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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.