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Finding the Fourth Proportional to 1,678.45, 2,318.20 and 1,118.00

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Solution

The fourth proportional to 1,678.45, 2,318.20 and 1,118.00 is: 1,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.45 : 2,318.20 = 1,118.00 : x
  2. Step 2: Convert to fraction form
    1,678.45/2,318.20 = 1,118.00/x
  3. Step 3: Cross multiply
    1,678.45x = 2,318.20 × 1,118.00
  4. Step 4: Simplify right side
    1,678.45x = 2,591,736.01
  5. Step 5: Solve for x
    x = 2,591,736.01/1,678.45
  6. Step 6: Final answer
    x = 1,544.12

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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.