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Finding the Fourth Proportional to 1,653.69, 2,467.75 and 1,469.62

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Solution

The fourth proportional to 1,653.69, 2,467.75 and 1,469.62 is: 2,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.69 : 2,467.75 = 1,469.62 : x
  2. Step 2: Convert to fraction form
    1,653.69/2,467.75 = 1,469.62/x
  3. Step 3: Cross multiply
    1,653.69x = 2,467.75 × 1,469.62
  4. Step 4: Simplify right side
    1,653.69x = 3,626,654.76
  5. Step 5: Solve for x
    x = 3,626,654.76/1,653.69
  6. Step 6: Final answer
    x = 2,193.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.