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Finding the Fourth Proportional to 1,952.71, 2,694.73 and 1,113.45

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Solution

The fourth proportional to 1,952.71, 2,694.73 and 1,113.45 is: 1,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.71 : 2,694.73 = 1,113.45 : x
  2. Step 2: Convert to fraction form
    1,952.71/2,694.73 = 1,113.45/x
  3. Step 3: Cross multiply
    1,952.71x = 2,694.73 × 1,113.45
  4. Step 4: Simplify right side
    1,952.71x = 3,000,447.12
  5. Step 5: Solve for x
    x = 3,000,447.12/1,952.71
  6. Step 6: Final answer
    x = 1,536.56

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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.