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Finding the Fourth Proportional to 2,283.51, 3,412.19 and 1,716.96

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Solution

The fourth proportional to 2,283.51, 3,412.19 and 1,716.96 is: 2,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.51 : 3,412.19 = 1,716.96 : x
  2. Step 2: Convert to fraction form
    2,283.51/3,412.19 = 1,716.96/x
  3. Step 3: Cross multiply
    2,283.51x = 3,412.19 × 1,716.96
  4. Step 4: Simplify right side
    2,283.51x = 5,858,593.74
  5. Step 5: Solve for x
    x = 5,858,593.74/2,283.51
  6. Step 6: Final answer
    x = 2,565.61

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Why These Related Problems?

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