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Finding the Fourth Proportional to 1,935.58, 2,903.11 and 825.14

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Solution

The fourth proportional to 1,935.58, 2,903.11 and 825.14 is: 1,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.58 : 2,903.11 = 825.14 : x
  2. Step 2: Convert to fraction form
    1,935.58/2,903.11 = 825.14/x
  3. Step 3: Cross multiply
    1,935.58x = 2,903.11 × 825.14
  4. Step 4: Simplify right side
    1,935.58x = 2,395,461.05
  5. Step 5: Solve for x
    x = 2,395,461.05/1,935.58
  6. Step 6: Final answer
    x = 1,237.59

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