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Finding the Fourth Proportional to 3,039.40, 4,194.56 and 1,713.22

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Solution

The fourth proportional to 3,039.40, 4,194.56 and 1,713.22 is: 2,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.40 : 4,194.56 = 1,713.22 : x
  2. Step 2: Convert to fraction form
    3,039.40/4,194.56 = 1,713.22/x
  3. Step 3: Cross multiply
    3,039.40x = 4,194.56 × 1,713.22
  4. Step 4: Simplify right side
    3,039.40x = 7,186,204.08
  5. Step 5: Solve for x
    x = 7,186,204.08/3,039.40
  6. Step 6: Final answer
    x = 2,364.35

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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.