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Finding the Fourth Proportional to 2,719.24, 3,752.86 and 1,670.68

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Solution

The fourth proportional to 2,719.24, 3,752.86 and 1,670.68 is: 2,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.24 : 3,752.86 = 1,670.68 : x
  2. Step 2: Convert to fraction form
    2,719.24/3,752.86 = 1,670.68/x
  3. Step 3: Cross multiply
    2,719.24x = 3,752.86 × 1,670.68
  4. Step 4: Simplify right side
    2,719.24x = 6,269,828.14
  5. Step 5: Solve for x
    x = 6,269,828.14/2,719.24
  6. Step 6: Final answer
    x = 2,305.73

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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.