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Finding the Fourth Proportional to 1,386.95, 1,915.31 and 1,189.31

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Solution

The fourth proportional to 1,386.95, 1,915.31 and 1,189.31 is: 1,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.95 : 1,915.31 = 1,189.31 : x
  2. Step 2: Convert to fraction form
    1,386.95/1,915.31 = 1,189.31/x
  3. Step 3: Cross multiply
    1,386.95x = 1,915.31 × 1,189.31
  4. Step 4: Simplify right side
    1,386.95x = 2,277,890.73
  5. Step 5: Solve for x
    x = 2,277,890.73/1,386.95
  6. Step 6: Final answer
    x = 1,642.38

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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.