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Finding the Fourth Proportional to 1,744.16, 2,406.96 and 958.32

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Solution

The fourth proportional to 1,744.16, 2,406.96 and 958.32 is: 1,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.16 : 2,406.96 = 958.32 : x
  2. Step 2: Convert to fraction form
    1,744.16/2,406.96 = 958.32/x
  3. Step 3: Cross multiply
    1,744.16x = 2,406.96 × 958.32
  4. Step 4: Simplify right side
    1,744.16x = 2,306,637.91
  5. Step 5: Solve for x
    x = 2,306,637.91/1,744.16
  6. Step 6: Final answer
    x = 1,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.