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Finding the Fourth Proportional to 1,746.29, 2,409.82 and 960.33

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Solution

The fourth proportional to 1,746.29, 2,409.82 and 960.33 is: 1,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.29 : 2,409.82 = 960.33 : x
  2. Step 2: Convert to fraction form
    1,746.29/2,409.82 = 960.33/x
  3. Step 3: Cross multiply
    1,746.29x = 2,409.82 × 960.33
  4. Step 4: Simplify right side
    1,746.29x = 2,314,220.04
  5. Step 5: Solve for x
    x = 2,314,220.04/1,746.29
  6. Step 6: Final answer
    x = 1,325.22

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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.