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Finding the Fourth Proportional to 1,712, 2,581.48 and 1,391.24

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Solution

The fourth proportional to 1,712, 2,581.48 and 1,391.24 is: 2,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712 : 2,581.48 = 1,391.24 : x
  2. Step 2: Convert to fraction form
    1,712/2,581.48 = 1,391.24/x
  3. Step 3: Cross multiply
    1,712x = 2,581.48 × 1,391.24
  4. Step 4: Simplify right side
    1,712x = 3,591,458.24
  5. Step 5: Solve for x
    x = 3,591,458.24/1,712
  6. Step 6: Final answer
    x = 2,097.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.