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Finding the Fourth Proportional to 1,618.54, 2,233.50 and 955.15

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Solution

The fourth proportional to 1,618.54, 2,233.50 and 955.15 is: 1,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.54 : 2,233.50 = 955.15 : x
  2. Step 2: Convert to fraction form
    1,618.54/2,233.50 = 955.15/x
  3. Step 3: Cross multiply
    1,618.54x = 2,233.50 × 955.15
  4. Step 4: Simplify right side
    1,618.54x = 2,133,330.32
  5. Step 5: Solve for x
    x = 2,133,330.32/1,618.54
  6. Step 6: Final answer
    x = 1,318.06

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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.