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Finding the Fourth Proportional to 3,116.76, 4,301.06 and 1,719.51

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Solution

The fourth proportional to 3,116.76, 4,301.06 and 1,719.51 is: 2,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.76 : 4,301.06 = 1,719.51 : x
  2. Step 2: Convert to fraction form
    3,116.76/4,301.06 = 1,719.51/x
  3. Step 3: Cross multiply
    3,116.76x = 4,301.06 × 1,719.51
  4. Step 4: Simplify right side
    3,116.76x = 7,395,707.08
  5. Step 5: Solve for x
    x = 7,395,707.08/3,116.76
  6. Step 6: Final answer
    x = 2,372.88

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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.