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Finding the Fourth Proportional to 2,653.23, 3,658.17 and 1,767.09

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Solution

The fourth proportional to 2,653.23, 3,658.17 and 1,767.09 is: 2,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.23 : 3,658.17 = 1,767.09 : x
  2. Step 2: Convert to fraction form
    2,653.23/3,658.17 = 1,767.09/x
  3. Step 3: Cross multiply
    2,653.23x = 3,658.17 × 1,767.09
  4. Step 4: Simplify right side
    2,653.23x = 6,464,315.63
  5. Step 5: Solve for x
    x = 6,464,315.63/2,653.23
  6. Step 6: Final answer
    x = 2,436.39

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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.