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Finding the Fourth Proportional to 1,716.96, 2,367.30 and 1,509.21

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Solution

The fourth proportional to 1,716.96, 2,367.30 and 1,509.21 is: 2,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.96 : 2,367.30 = 1,509.21 : x
  2. Step 2: Convert to fraction form
    1,716.96/2,367.30 = 1,509.21/x
  3. Step 3: Cross multiply
    1,716.96x = 2,367.30 × 1,509.21
  4. Step 4: Simplify right side
    1,716.96x = 3,572,752.83
  5. Step 5: Solve for x
    x = 3,572,752.83/1,716.96
  6. Step 6: Final answer
    x = 2,080.86

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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.