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Finding the Fourth Proportional to 1,684.38, 2,522.03 and 1,097.63

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Solution

The fourth proportional to 1,684.38, 2,522.03 and 1,097.63 is: 1,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.38 : 2,522.03 = 1,097.63 : x
  2. Step 2: Convert to fraction form
    1,684.38/2,522.03 = 1,097.63/x
  3. Step 3: Cross multiply
    1,684.38x = 2,522.03 × 1,097.63
  4. Step 4: Simplify right side
    1,684.38x = 2,768,237.69
  5. Step 5: Solve for x
    x = 2,768,237.69/1,684.38
  6. Step 6: Final answer
    x = 1,643.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.