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Finding the Fourth Proportional to 2,969.59, 4,101.27 and 1,979.07

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Solution

The fourth proportional to 2,969.59, 4,101.27 and 1,979.07 is: 2,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.59 : 4,101.27 = 1,979.07 : x
  2. Step 2: Convert to fraction form
    2,969.59/4,101.27 = 1,979.07/x
  3. Step 3: Cross multiply
    2,969.59x = 4,101.27 × 1,979.07
  4. Step 4: Simplify right side
    2,969.59x = 8,116,700.42
  5. Step 5: Solve for x
    x = 8,116,700.42/2,969.59
  6. Step 6: Final answer
    x = 2,733.28

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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.