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Finding the Fourth Proportional to 1,185.31, 1,635.20 and 1,130.41

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Solution

The fourth proportional to 1,185.31, 1,635.20 and 1,130.41 is: 1,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.31 : 1,635.20 = 1,130.41 : x
  2. Step 2: Convert to fraction form
    1,185.31/1,635.20 = 1,130.41/x
  3. Step 3: Cross multiply
    1,185.31x = 1,635.20 × 1,130.41
  4. Step 4: Simplify right side
    1,185.31x = 1,848,438.26
  5. Step 5: Solve for x
    x = 1,848,438.26/1,185.31
  6. Step 6: Final answer
    x = 1,559.46

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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.