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Finding the Fourth Proportional to 1,743.96, 2,406.72 and 958.06

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Solution

The fourth proportional to 1,743.96, 2,406.72 and 958.06 is: 1,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.96 : 2,406.72 = 958.06 : x
  2. Step 2: Convert to fraction form
    1,743.96/2,406.72 = 958.06/x
  3. Step 3: Cross multiply
    1,743.96x = 2,406.72 × 958.06
  4. Step 4: Simplify right side
    1,743.96x = 2,305,782.16
  5. Step 5: Solve for x
    x = 2,305,782.16/1,743.96
  6. Step 6: Final answer
    x = 1,322.15

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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.