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Finding the Fourth Proportional to 1,716.04, 2,573.16 and 849.34

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Solution

The fourth proportional to 1,716.04, 2,573.16 and 849.34 is: 1,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.04 : 2,573.16 = 849.34 : x
  2. Step 2: Convert to fraction form
    1,716.04/2,573.16 = 849.34/x
  3. Step 3: Cross multiply
    1,716.04x = 2,573.16 × 849.34
  4. Step 4: Simplify right side
    1,716.04x = 2,185,487.71
  5. Step 5: Solve for x
    x = 2,185,487.71/1,716.04
  6. Step 6: Final answer
    x = 1,273.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.