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Finding the Fourth Proportional to 2,505.13, 3,757.29 and 945.01

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Solution

The fourth proportional to 2,505.13, 3,757.29 and 945.01 is: 1,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.13 : 3,757.29 = 945.01 : x
  2. Step 2: Convert to fraction form
    2,505.13/3,757.29 = 945.01/x
  3. Step 3: Cross multiply
    2,505.13x = 3,757.29 × 945.01
  4. Step 4: Simplify right side
    2,505.13x = 3,550,676.62
  5. Step 5: Solve for x
    x = 3,550,676.62/2,505.13
  6. Step 6: Final answer
    x = 1,417.36

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Why These Related Problems?

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