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Finding the Fourth Proportional to 2,505.15, 3,758.13 and 945.09

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Solution

The fourth proportional to 2,505.15, 3,758.13 and 945.09 is: 1,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.15 : 3,758.13 = 945.09 : x
  2. Step 2: Convert to fraction form
    2,505.15/3,758.13 = 945.09/x
  3. Step 3: Cross multiply
    2,505.15x = 3,758.13 × 945.09
  4. Step 4: Simplify right side
    2,505.15x = 3,551,771.08
  5. Step 5: Solve for x
    x = 3,551,771.08/2,505.15
  6. Step 6: Final answer
    x = 1,417.79

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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.