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Finding the Fourth Proportional to 1,618.27, 2,232.99 and 955.01

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Solution

The fourth proportional to 1,618.27, 2,232.99 and 955.01 is: 1,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.27 : 2,232.99 = 955.01 : x
  2. Step 2: Convert to fraction form
    1,618.27/2,232.99 = 955.01/x
  3. Step 3: Cross multiply
    1,618.27x = 2,232.99 × 955.01
  4. Step 4: Simplify right side
    1,618.27x = 2,132,527.78
  5. Step 5: Solve for x
    x = 2,132,527.78/1,618.27
  6. Step 6: Final answer
    x = 1,317.78

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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.