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Finding the Fourth Proportional to 1,679.31, 2,317.65 and 1,016.04

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Solution

The fourth proportional to 1,679.31, 2,317.65 and 1,016.04 is: 1,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.31 : 2,317.65 = 1,016.04 : x
  2. Step 2: Convert to fraction form
    1,679.31/2,317.65 = 1,016.04/x
  3. Step 3: Cross multiply
    1,679.31x = 2,317.65 × 1,016.04
  4. Step 4: Simplify right side
    1,679.31x = 2,354,825.11
  5. Step 5: Solve for x
    x = 2,354,825.11/1,679.31
  6. Step 6: Final answer
    x = 1,402.26

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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.