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Finding the Fourth Proportional to 1,504.31, 2,076.03 and 914.90

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Solution

The fourth proportional to 1,504.31, 2,076.03 and 914.90 is: 1,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.31 : 2,076.03 = 914.90 : x
  2. Step 2: Convert to fraction form
    1,504.31/2,076.03 = 914.90/x
  3. Step 3: Cross multiply
    1,504.31x = 2,076.03 × 914.90
  4. Step 4: Simplify right side
    1,504.31x = 1,899,349.47
  5. Step 5: Solve for x
    x = 1,899,349.47/1,504.31
  6. Step 6: Final answer
    x = 1,262.61

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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.