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Finding the Fourth Proportional to 1,386.65, 1,913.81 and 938.31

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Solution

The fourth proportional to 1,386.65, 1,913.81 and 938.31 is: 1,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.65 : 1,913.81 = 938.31 : x
  2. Step 2: Convert to fraction form
    1,386.65/1,913.81 = 938.31/x
  3. Step 3: Cross multiply
    1,386.65x = 1,913.81 × 938.31
  4. Step 4: Simplify right side
    1,386.65x = 1,795,742.37
  5. Step 5: Solve for x
    x = 1,795,742.37/1,386.65
  6. Step 6: Final answer
    x = 1,295.03

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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.