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Finding the Fourth Proportional to 1,238.88, 1,856.75 and 1,206.58

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Solution

The fourth proportional to 1,238.88, 1,856.75 and 1,206.58 is: 1,808.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.88 : 1,856.75 = 1,206.58 : x
  2. Step 2: Convert to fraction form
    1,238.88/1,856.75 = 1,206.58/x
  3. Step 3: Cross multiply
    1,238.88x = 1,856.75 × 1,206.58
  4. Step 4: Simplify right side
    1,238.88x = 2,240,317.42
  5. Step 5: Solve for x
    x = 2,240,317.42/1,238.88
  6. Step 6: Final answer
    x = 1,808.34

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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.