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Finding the Fourth Proportional to 1,352.36, 2,025.54 and 884.51

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Solution

The fourth proportional to 1,352.36, 2,025.54 and 884.51 is: 1,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.36 : 2,025.54 = 884.51 : x
  2. Step 2: Convert to fraction form
    1,352.36/2,025.54 = 884.51/x
  3. Step 3: Cross multiply
    1,352.36x = 2,025.54 × 884.51
  4. Step 4: Simplify right side
    1,352.36x = 1,791,600.26
  5. Step 5: Solve for x
    x = 1,791,600.26/1,352.36
  6. Step 6: Final answer
    x = 1,324.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.