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Finding the Fourth Proportional to 1,742.92, 2,405.23 and 946.23

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Solution

The fourth proportional to 1,742.92, 2,405.23 and 946.23 is: 1,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.92 : 2,405.23 = 946.23 : x
  2. Step 2: Convert to fraction form
    1,742.92/2,405.23 = 946.23/x
  3. Step 3: Cross multiply
    1,742.92x = 2,405.23 × 946.23
  4. Step 4: Simplify right side
    1,742.92x = 2,275,889.40
  5. Step 5: Solve for x
    x = 2,275,889.40/1,742.92
  6. Step 6: Final answer
    x = 1,305.79

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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.