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Finding the Fourth Proportional to 1,386.35, 1,910.27 and 943.48

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Solution

The fourth proportional to 1,386.35, 1,910.27 and 943.48 is: 1,300.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.35 : 1,910.27 = 943.48 : x
  2. Step 2: Convert to fraction form
    1,386.35/1,910.27 = 943.48/x
  3. Step 3: Cross multiply
    1,386.35x = 1,910.27 × 943.48
  4. Step 4: Simplify right side
    1,386.35x = 1,802,301.54
  5. Step 5: Solve for x
    x = 1,802,301.54/1,386.35
  6. Step 6: Final answer
    x = 1,300.03

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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.