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Finding the Fourth Proportional to 2,803.37, 3,868.74 and 1,544.45

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Solution

The fourth proportional to 2,803.37, 3,868.74 and 1,544.45 is: 2,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.37 : 3,868.74 = 1,544.45 : x
  2. Step 2: Convert to fraction form
    2,803.37/3,868.74 = 1,544.45/x
  3. Step 3: Cross multiply
    2,803.37x = 3,868.74 × 1,544.45
  4. Step 4: Simplify right side
    2,803.37x = 5,975,075.49
  5. Step 5: Solve for x
    x = 5,975,075.49/2,803.37
  6. Step 6: Final answer
    x = 2,131.39

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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.