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Finding the Fourth Proportional to 1,687.86, 2,330.31 and 1,090.65

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Solution

The fourth proportional to 1,687.86, 2,330.31 and 1,090.65 is: 1,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.86 : 2,330.31 = 1,090.65 : x
  2. Step 2: Convert to fraction form
    1,687.86/2,330.31 = 1,090.65/x
  3. Step 3: Cross multiply
    1,687.86x = 2,330.31 × 1,090.65
  4. Step 4: Simplify right side
    1,687.86x = 2,541,552.60
  5. Step 5: Solve for x
    x = 2,541,552.60/1,687.86
  6. Step 6: Final answer
    x = 1,505.78

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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.