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Finding the Fourth Proportional to 2,673.40, 3,689.29 and 1,494.47

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Solution

The fourth proportional to 2,673.40, 3,689.29 and 1,494.47 is: 2,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.40 : 3,689.29 = 1,494.47 : x
  2. Step 2: Convert to fraction form
    2,673.40/3,689.29 = 1,494.47/x
  3. Step 3: Cross multiply
    2,673.40x = 3,689.29 × 1,494.47
  4. Step 4: Simplify right side
    2,673.40x = 5,513,533.23
  5. Step 5: Solve for x
    x = 5,513,533.23/2,673.40
  6. Step 6: Final answer
    x = 2,062.37

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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.