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Finding the Fourth Proportional to 2,673.31, 3,689.14 and 1,478.38

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Solution

The fourth proportional to 2,673.31, 3,689.14 and 1,478.38 is: 2,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.31 : 3,689.14 = 1,478.38 : x
  2. Step 2: Convert to fraction form
    2,673.31/3,689.14 = 1,478.38/x
  3. Step 3: Cross multiply
    2,673.31x = 3,689.14 × 1,478.38
  4. Step 4: Simplify right side
    2,673.31x = 5,453,950.79
  5. Step 5: Solve for x
    x = 5,453,950.79/2,673.31
  6. Step 6: Final answer
    x = 2,040.15

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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.