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Finding the Fourth Proportional to 2,969.09, 4,100.58 and 1,978.57

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Solution

The fourth proportional to 2,969.09, 4,100.58 and 1,978.57 is: 2,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.09 : 4,100.58 = 1,978.57 : x
  2. Step 2: Convert to fraction form
    2,969.09/4,100.58 = 1,978.57/x
  3. Step 3: Cross multiply
    2,969.09x = 4,100.58 × 1,978.57
  4. Step 4: Simplify right side
    2,969.09x = 8,113,274.32
  5. Step 5: Solve for x
    x = 8,113,274.32/2,969.09
  6. Step 6: Final answer
    x = 2,732.58

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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.