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Finding the Fourth Proportional to 3,154.95, 4,352.61 and 1,828.41

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Solution

The fourth proportional to 3,154.95, 4,352.61 and 1,828.41 is: 2,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.95 : 4,352.61 = 1,828.41 : x
  2. Step 2: Convert to fraction form
    3,154.95/4,352.61 = 1,828.41/x
  3. Step 3: Cross multiply
    3,154.95x = 4,352.61 × 1,828.41
  4. Step 4: Simplify right side
    3,154.95x = 7,958,355.65
  5. Step 5: Solve for x
    x = 7,958,355.65/3,154.95
  6. Step 6: Final answer
    x = 2,522.50

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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.