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Finding the Fourth Proportional to 1,716.94, 2,564.96 and 1,095.70

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Solution

The fourth proportional to 1,716.94, 2,564.96 and 1,095.70 is: 1,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.94 : 2,564.96 = 1,095.70 : x
  2. Step 2: Convert to fraction form
    1,716.94/2,564.96 = 1,095.70/x
  3. Step 3: Cross multiply
    1,716.94x = 2,564.96 × 1,095.70
  4. Step 4: Simplify right side
    1,716.94x = 2,810,426.67
  5. Step 5: Solve for x
    x = 2,810,426.67/1,716.94
  6. Step 6: Final answer
    x = 1,636.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.