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Finding the Fourth Proportional to 1,617.75, 2,232.27 and 954.63

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Solution

The fourth proportional to 1,617.75, 2,232.27 and 954.63 is: 1,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.75 : 2,232.27 = 954.63 : x
  2. Step 2: Convert to fraction form
    1,617.75/2,232.27 = 954.63/x
  3. Step 3: Cross multiply
    1,617.75x = 2,232.27 × 954.63
  4. Step 4: Simplify right side
    1,617.75x = 2,130,991.91
  5. Step 5: Solve for x
    x = 2,130,991.91/1,617.75
  6. Step 6: Final answer
    x = 1,317.26

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1.5x scale

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.