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Finding the Fourth Proportional to 2,505.33, 3,757.39 and 945.47

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Solution

The fourth proportional to 2,505.33, 3,757.39 and 945.47 is: 1,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.33 : 3,757.39 = 945.47 : x
  2. Step 2: Convert to fraction form
    2,505.33/3,757.39 = 945.47/x
  3. Step 3: Cross multiply
    2,505.33x = 3,757.39 × 945.47
  4. Step 4: Simplify right side
    2,505.33x = 3,552,506.55
  5. Step 5: Solve for x
    x = 3,552,506.55/2,505.33
  6. Step 6: Final answer
    x = 1,417.98

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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.