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Finding the Fourth Proportional to 2,713.30, 3,742.30 and 1,969.72

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Solution

The fourth proportional to 2,713.30, 3,742.30 and 1,969.72 is: 2,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.30 : 3,742.30 = 1,969.72 : x
  2. Step 2: Convert to fraction form
    2,713.30/3,742.30 = 1,969.72/x
  3. Step 3: Cross multiply
    2,713.30x = 3,742.30 × 1,969.72
  4. Step 4: Simplify right side
    2,713.30x = 7,371,254.60
  5. Step 5: Solve for x
    x = 7,371,254.60/2,713.30
  6. Step 6: Final answer
    x = 2,716.72

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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.