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Finding the Fourth Proportional to 1,617.82, 2,232.33 and 954.58

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Solution

The fourth proportional to 1,617.82, 2,232.33 and 954.58 is: 1,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.82 : 2,232.33 = 954.58 : x
  2. Step 2: Convert to fraction form
    1,617.82/2,232.33 = 954.58/x
  3. Step 3: Cross multiply
    1,617.82x = 2,232.33 × 954.58
  4. Step 4: Simplify right side
    1,617.82x = 2,130,937.57
  5. Step 5: Solve for x
    x = 2,130,937.57/1,617.82
  6. Step 6: Final answer
    x = 1,317.17

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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.