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Finding the Fourth Proportional to 3,154.43, 4,352.81 and 1,828.58

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Solution

The fourth proportional to 3,154.43, 4,352.81 and 1,828.58 is: 2,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.43 : 4,352.81 = 1,828.58 : x
  2. Step 2: Convert to fraction form
    3,154.43/4,352.81 = 1,828.58/x
  3. Step 3: Cross multiply
    3,154.43x = 4,352.81 × 1,828.58
  4. Step 4: Simplify right side
    3,154.43x = 7,959,430.40
  5. Step 5: Solve for x
    x = 7,959,430.40/3,154.43
  6. Step 6: Final answer
    x = 2,523.25

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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.