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Finding the Fourth Proportional to 1,520.01, 2,096.54 and 930.83

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Solution

The fourth proportional to 1,520.01, 2,096.54 and 930.83 is: 1,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.01 : 2,096.54 = 930.83 : x
  2. Step 2: Convert to fraction form
    1,520.01/2,096.54 = 930.83/x
  3. Step 3: Cross multiply
    1,520.01x = 2,096.54 × 930.83
  4. Step 4: Simplify right side
    1,520.01x = 1,951,522.33
  5. Step 5: Solve for x
    x = 1,951,522.33/1,520.01
  6. Step 6: Final answer
    x = 1,283.89

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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.