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Finding the Fourth Proportional to 3,291.24, 4,926.54 and 1,825.68

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Solution

The fourth proportional to 3,291.24, 4,926.54 and 1,825.68 is: 2,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.24 : 4,926.54 = 1,825.68 : x
  2. Step 2: Convert to fraction form
    3,291.24/4,926.54 = 1,825.68/x
  3. Step 3: Cross multiply
    3,291.24x = 4,926.54 × 1,825.68
  4. Step 4: Simplify right side
    3,291.24x = 8,994,285.55
  5. Step 5: Solve for x
    x = 8,994,285.55/3,291.24
  6. Step 6: Final answer
    x = 2,732.80

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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.