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Finding the Fourth Proportional to 1,716.49, 2,569.42 and 1,689.76

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Solution

The fourth proportional to 1,716.49, 2,569.42 and 1,689.76 is: 2,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.49 : 2,569.42 = 1,689.76 : x
  2. Step 2: Convert to fraction form
    1,716.49/2,569.42 = 1,689.76/x
  3. Step 3: Cross multiply
    1,716.49x = 2,569.42 × 1,689.76
  4. Step 4: Simplify right side
    1,716.49x = 4,341,708.46
  5. Step 5: Solve for x
    x = 4,341,708.46/1,716.49
  6. Step 6: Final answer
    x = 2,529.41

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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.