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Finding the Fourth Proportional to 1,654.96, 2,285.46 and 1,499.44

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Solution

The fourth proportional to 1,654.96, 2,285.46 and 1,499.44 is: 2,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.96 : 2,285.46 = 1,499.44 : x
  2. Step 2: Convert to fraction form
    1,654.96/2,285.46 = 1,499.44/x
  3. Step 3: Cross multiply
    1,654.96x = 2,285.46 × 1,499.44
  4. Step 4: Simplify right side
    1,654.96x = 3,426,910.14
  5. Step 5: Solve for x
    x = 3,426,910.14/1,654.96
  6. Step 6: Final answer
    x = 2,070.69

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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.