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Finding the Fourth Proportional to 3,105.66, 4,657.56 and 1,644.01

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Solution

The fourth proportional to 3,105.66, 4,657.56 and 1,644.01 is: 2,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.66 : 4,657.56 = 1,644.01 : x
  2. Step 2: Convert to fraction form
    3,105.66/4,657.56 = 1,644.01/x
  3. Step 3: Cross multiply
    3,105.66x = 4,657.56 × 1,644.01
  4. Step 4: Simplify right side
    3,105.66x = 7,657,075.22
  5. Step 5: Solve for x
    x = 7,657,075.22/3,105.66
  6. Step 6: Final answer
    x = 2,465.53

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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.