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Finding the Fourth Proportional to 1,388.69, 1,917.96 and 945.82

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Solution

The fourth proportional to 1,388.69, 1,917.96 and 945.82 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.69 : 1,917.96 = 945.82 : x
  2. Step 2: Convert to fraction form
    1,388.69/1,917.96 = 945.82/x
  3. Step 3: Cross multiply
    1,388.69x = 1,917.96 × 945.82
  4. Step 4: Simplify right side
    1,388.69x = 1,814,040.13
  5. Step 5: Solve for x
    x = 1,814,040.13/1,388.69
  6. Step 6: Final answer
    x = 1,306.30

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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.