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Finding the Fourth Proportional to 1,563.50, 2,160.54 and 1,352.09

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Solution

The fourth proportional to 1,563.50, 2,160.54 and 1,352.09 is: 1,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.50 : 2,160.54 = 1,352.09 : x
  2. Step 2: Convert to fraction form
    1,563.50/2,160.54 = 1,352.09/x
  3. Step 3: Cross multiply
    1,563.50x = 2,160.54 × 1,352.09
  4. Step 4: Simplify right side
    1,563.50x = 2,921,233.73
  5. Step 5: Solve for x
    x = 2,921,233.73/1,563.50
  6. Step 6: Final answer
    x = 1,868.40

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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.