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Finding the Fourth Proportional to 2,450.37, 3,675.75 and 695.35

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Solution

The fourth proportional to 2,450.37, 3,675.75 and 695.35 is: 1,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.37 : 3,675.75 = 695.35 : x
  2. Step 2: Convert to fraction form
    2,450.37/3,675.75 = 695.35/x
  3. Step 3: Cross multiply
    2,450.37x = 3,675.75 × 695.35
  4. Step 4: Simplify right side
    2,450.37x = 2,555,932.76
  5. Step 5: Solve for x
    x = 2,555,932.76/2,450.37
  6. Step 6: Final answer
    x = 1,043.08

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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.