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Finding the Fourth Proportional to 1,352.25, 1,866.12 and 887.31

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Solution

The fourth proportional to 1,352.25, 1,866.12 and 887.31 is: 1,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.25 : 1,866.12 = 887.31 : x
  2. Step 2: Convert to fraction form
    1,352.25/1,866.12 = 887.31/x
  3. Step 3: Cross multiply
    1,352.25x = 1,866.12 × 887.31
  4. Step 4: Simplify right side
    1,352.25x = 1,655,826.94
  5. Step 5: Solve for x
    x = 1,655,826.94/1,352.25
  6. Step 6: Final answer
    x = 1,224.50

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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.