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Finding the Fourth Proportional to 3,323.84, 4,586.82 and 1,926.50

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Solution

The fourth proportional to 3,323.84, 4,586.82 and 1,926.50 is: 2,658.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.84 : 4,586.82 = 1,926.50 : x
  2. Step 2: Convert to fraction form
    3,323.84/4,586.82 = 1,926.50/x
  3. Step 3: Cross multiply
    3,323.84x = 4,586.82 × 1,926.50
  4. Step 4: Simplify right side
    3,323.84x = 8,836,508.73
  5. Step 5: Solve for x
    x = 8,836,508.73/3,323.84
  6. Step 6: Final answer
    x = 2,658.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.