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Finding the Fourth Proportional to 3,021.66, 4,535.25 and 2,097.66

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Solution

The fourth proportional to 3,021.66, 4,535.25 and 2,097.66 is: 3,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.66 : 4,535.25 = 2,097.66 : x
  2. Step 2: Convert to fraction form
    3,021.66/4,535.25 = 2,097.66/x
  3. Step 3: Cross multiply
    3,021.66x = 4,535.25 × 2,097.66
  4. Step 4: Simplify right side
    3,021.66x = 9,513,412.52
  5. Step 5: Solve for x
    x = 9,513,412.52/3,021.66
  6. Step 6: Final answer
    x = 3,148.41

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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.