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Finding the Fourth Proportional to 1,811.56, 2,718.36 and 771.45

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Solution

The fourth proportional to 1,811.56, 2,718.36 and 771.45 is: 1,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.56 : 2,718.36 = 771.45 : x
  2. Step 2: Convert to fraction form
    1,811.56/2,718.36 = 771.45/x
  3. Step 3: Cross multiply
    1,811.56x = 2,718.36 × 771.45
  4. Step 4: Simplify right side
    1,811.56x = 2,097,075.05
  5. Step 5: Solve for x
    x = 2,097,075.05/1,811.56
  6. Step 6: Final answer
    x = 1,157.61

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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.