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Finding the Fourth Proportional to 1,905.65, 2,856.54 and 1,289.42

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Solution

The fourth proportional to 1,905.65, 2,856.54 and 1,289.42 is: 1,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.65 : 2,856.54 = 1,289.42 : x
  2. Step 2: Convert to fraction form
    1,905.65/2,856.54 = 1,289.42/x
  3. Step 3: Cross multiply
    1,905.65x = 2,856.54 × 1,289.42
  4. Step 4: Simplify right side
    1,905.65x = 3,683,277.44
  5. Step 5: Solve for x
    x = 3,683,277.44/1,905.65
  6. Step 6: Final answer
    x = 1,932.82

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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.