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Finding the Fourth Proportional to 1,679.29, 2,514.38 and 947.66

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Solution

The fourth proportional to 1,679.29, 2,514.38 and 947.66 is: 1,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.29 : 2,514.38 = 947.66 : x
  2. Step 2: Convert to fraction form
    1,679.29/2,514.38 = 947.66/x
  3. Step 3: Cross multiply
    1,679.29x = 2,514.38 × 947.66
  4. Step 4: Simplify right side
    1,679.29x = 2,382,760.04
  5. Step 5: Solve for x
    x = 2,382,760.04/1,679.29
  6. Step 6: Final answer
    x = 1,418.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.