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Finding the Fourth Proportional to 2,673.51, 3,689.24 and 1,478.49

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Solution

The fourth proportional to 2,673.51, 3,689.24 and 1,478.49 is: 2,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.51 : 3,689.24 = 1,478.49 : x
  2. Step 2: Convert to fraction form
    2,673.51/3,689.24 = 1,478.49/x
  3. Step 3: Cross multiply
    2,673.51x = 3,689.24 × 1,478.49
  4. Step 4: Simplify right side
    2,673.51x = 5,454,497.06
  5. Step 5: Solve for x
    x = 5,454,497.06/2,673.51
  6. Step 6: Final answer
    x = 2,040.20

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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.