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Finding the Fourth Proportional to 1,504.53, 2,076.17 and 945.09

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Solution

The fourth proportional to 1,504.53, 2,076.17 and 945.09 is: 1,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.53 : 2,076.17 = 945.09 : x
  2. Step 2: Convert to fraction form
    1,504.53/2,076.17 = 945.09/x
  3. Step 3: Cross multiply
    1,504.53x = 2,076.17 × 945.09
  4. Step 4: Simplify right side
    1,504.53x = 1,962,162.78
  5. Step 5: Solve for x
    x = 1,962,162.78/1,504.53
  6. Step 6: Final answer
    x = 1,304.17

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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.