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Finding the Fourth Proportional to 2,180.59, 3,007.69 and 1,434.31

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Solution

The fourth proportional to 2,180.59, 3,007.69 and 1,434.31 is: 1,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.59 : 3,007.69 = 1,434.31 : x
  2. Step 2: Convert to fraction form
    2,180.59/3,007.69 = 1,434.31/x
  3. Step 3: Cross multiply
    2,180.59x = 3,007.69 × 1,434.31
  4. Step 4: Simplify right side
    2,180.59x = 4,313,965.40
  5. Step 5: Solve for x
    x = 4,313,965.40/2,180.59
  6. Step 6: Final answer
    x = 1,978.35

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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.