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Finding the Fourth Proportional to 1,654.83, 2,478.29 and 960.03

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Solution

The fourth proportional to 1,654.83, 2,478.29 and 960.03 is: 1,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.83 : 2,478.29 = 960.03 : x
  2. Step 2: Convert to fraction form
    1,654.83/2,478.29 = 960.03/x
  3. Step 3: Cross multiply
    1,654.83x = 2,478.29 × 960.03
  4. Step 4: Simplify right side
    1,654.83x = 2,379,227.95
  5. Step 5: Solve for x
    x = 2,379,227.95/1,654.83
  6. Step 6: Final answer
    x = 1,437.75

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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.