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Finding the Fourth Proportional to 1,886.31, 2,603.21 and 1,419.75

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Solution

The fourth proportional to 1,886.31, 2,603.21 and 1,419.75 is: 1,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.31 : 2,603.21 = 1,419.75 : x
  2. Step 2: Convert to fraction form
    1,886.31/2,603.21 = 1,419.75/x
  3. Step 3: Cross multiply
    1,886.31x = 2,603.21 × 1,419.75
  4. Step 4: Simplify right side
    1,886.31x = 3,695,900.30
  5. Step 5: Solve for x
    x = 3,695,900.30/1,886.31
  6. Step 6: Final answer
    x = 1,959.33

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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.