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Finding the Fourth Proportional to 1,941.56, 2,907.24 and 1,549.76

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Solution

The fourth proportional to 1,941.56, 2,907.24 and 1,549.76 is: 2,320.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.56 : 2,907.24 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    1,941.56/2,907.24 = 1,549.76/x
  3. Step 3: Cross multiply
    1,941.56x = 2,907.24 × 1,549.76
  4. Step 4: Simplify right side
    1,941.56x = 4,505,524.26
  5. Step 5: Solve for x
    x = 4,505,524.26/1,941.56
  6. Step 6: Final answer
    x = 2,320.57

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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.