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Finding the Fourth Proportional to 1,504.23, 2,076.18 and 914.65

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Solution

The fourth proportional to 1,504.23, 2,076.18 and 914.65 is: 1,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.23 : 2,076.18 = 914.65 : x
  2. Step 2: Convert to fraction form
    1,504.23/2,076.18 = 914.65/x
  3. Step 3: Cross multiply
    1,504.23x = 2,076.18 × 914.65
  4. Step 4: Simplify right side
    1,504.23x = 1,898,978.04
  5. Step 5: Solve for x
    x = 1,898,978.04/1,504.23
  6. Step 6: Final answer
    x = 1,262.43

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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.