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Finding the Fourth Proportional to 1,716.79, 2,578.63 and 1,024.81

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Solution

The fourth proportional to 1,716.79, 2,578.63 and 1,024.81 is: 1,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.79 : 2,578.63 = 1,024.81 : x
  2. Step 2: Convert to fraction form
    1,716.79/2,578.63 = 1,024.81/x
  3. Step 3: Cross multiply
    1,716.79x = 2,578.63 × 1,024.81
  4. Step 4: Simplify right side
    1,716.79x = 2,642,605.81
  5. Step 5: Solve for x
    x = 2,642,605.81/1,716.79
  6. Step 6: Final answer
    x = 1,539.27

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Why These Related Problems?

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