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Finding the Fourth Proportional to 2,505.40, 3,757.66 and 945.54

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Solution

The fourth proportional to 2,505.40, 3,757.66 and 945.54 is: 1,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.40 : 3,757.66 = 945.54 : x
  2. Step 2: Convert to fraction form
    2,505.40/3,757.66 = 945.54/x
  3. Step 3: Cross multiply
    2,505.40x = 3,757.66 × 945.54
  4. Step 4: Simplify right side
    2,505.40x = 3,553,017.84
  5. Step 5: Solve for x
    x = 3,553,017.84/2,505.40
  6. Step 6: Final answer
    x = 1,418.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.