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Finding the Fourth Proportional to 2,920.43, 4,030.02 and 1,661.31

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Solution

The fourth proportional to 2,920.43, 4,030.02 and 1,661.31 is: 2,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.43 : 4,030.02 = 1,661.31 : x
  2. Step 2: Convert to fraction form
    2,920.43/4,030.02 = 1,661.31/x
  3. Step 3: Cross multiply
    2,920.43x = 4,030.02 × 1,661.31
  4. Step 4: Simplify right side
    2,920.43x = 6,695,112.53
  5. Step 5: Solve for x
    x = 6,695,112.53/2,920.43
  6. Step 6: Final answer
    x = 2,292.51

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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.