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Finding the Fourth Proportional to 2,646, 3,651.58 and 1,467.05

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Solution

The fourth proportional to 2,646, 3,651.58 and 1,467.05 is: 2,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646 : 3,651.58 = 1,467.05 : x
  2. Step 2: Convert to fraction form
    2,646/3,651.58 = 1,467.05/x
  3. Step 3: Cross multiply
    2,646x = 3,651.58 × 1,467.05
  4. Step 4: Simplify right side
    2,646x = 5,357,034.01
  5. Step 5: Solve for x
    x = 5,357,034.01/2,646
  6. Step 6: Final answer
    x = 2,024.58

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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.