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Finding the Fourth Proportional to 1,352.56, 1,866.72 and 1,131.20

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Solution

The fourth proportional to 1,352.56, 1,866.72 and 1,131.20 is: 1,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.56 : 1,866.72 = 1,131.20 : x
  2. Step 2: Convert to fraction form
    1,352.56/1,866.72 = 1,131.20/x
  3. Step 3: Cross multiply
    1,352.56x = 1,866.72 × 1,131.20
  4. Step 4: Simplify right side
    1,352.56x = 2,111,633.66
  5. Step 5: Solve for x
    x = 2,111,633.66/1,352.56
  6. Step 6: Final answer
    x = 1,561.21

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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.