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Finding the Fourth Proportional to 1,716.29, 2,574.04 and 1,023.15

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Solution

The fourth proportional to 1,716.29, 2,574.04 and 1,023.15 is: 1,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.29 : 2,574.04 = 1,023.15 : x
  2. Step 2: Convert to fraction form
    1,716.29/2,574.04 = 1,023.15/x
  3. Step 3: Cross multiply
    1,716.29x = 2,574.04 × 1,023.15
  4. Step 4: Simplify right side
    1,716.29x = 2,633,629.03
  5. Step 5: Solve for x
    x = 2,633,629.03/1,716.29
  6. Step 6: Final answer
    x = 1,534.49

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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.