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Finding the Fourth Proportional to 2,695.96, 3,723.06 and 1,765

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Solution

The fourth proportional to 2,695.96, 3,723.06 and 1,765 is: 2,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.96 : 3,723.06 = 1,765 : x
  2. Step 2: Convert to fraction form
    2,695.96/3,723.06 = 1,765/x
  3. Step 3: Cross multiply
    2,695.96x = 3,723.06 × 1,765
  4. Step 4: Simplify right side
    2,695.96x = 6,571,200.90
  5. Step 5: Solve for x
    x = 6,571,200.90/2,695.96
  6. Step 6: Final answer
    x = 2,437.43

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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.