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Finding the Fourth Proportional to 2,504.56, 3,456.02 and 1,385.32

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Solution

The fourth proportional to 2,504.56, 3,456.02 and 1,385.32 is: 1,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.56 : 3,456.02 = 1,385.32 : x
  2. Step 2: Convert to fraction form
    2,504.56/3,456.02 = 1,385.32/x
  3. Step 3: Cross multiply
    2,504.56x = 3,456.02 × 1,385.32
  4. Step 4: Simplify right side
    2,504.56x = 4,787,676.35
  5. Step 5: Solve for x
    x = 4,787,676.35/2,504.56
  6. Step 6: Final answer
    x = 1,911.59

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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.