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Finding the Fourth Proportional to 1,388.12, 1,914.89 and 940.01

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Solution

The fourth proportional to 1,388.12, 1,914.89 and 940.01 is: 1,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.12 : 1,914.89 = 940.01 : x
  2. Step 2: Convert to fraction form
    1,388.12/1,914.89 = 940.01/x
  3. Step 3: Cross multiply
    1,388.12x = 1,914.89 × 940.01
  4. Step 4: Simplify right side
    1,388.12x = 1,800,001.47
  5. Step 5: Solve for x
    x = 1,800,001.47/1,388.12
  6. Step 6: Final answer
    x = 1,296.72

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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.