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Finding the Fourth Proportional to 1,281.30, 1,921.83 and 415.38

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Solution

The fourth proportional to 1,281.30, 1,921.83 and 415.38 is: 623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.30 : 1,921.83 = 415.38 : x
  2. Step 2: Convert to fraction form
    1,281.30/1,921.83 = 415.38/x
  3. Step 3: Cross multiply
    1,281.30x = 1,921.83 × 415.38
  4. Step 4: Simplify right side
    1,281.30x = 798,289.75
  5. Step 5: Solve for x
    x = 798,289.75/1,281.30
  6. Step 6: Final answer
    x = 623.03

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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.