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Finding the Fourth Proportional to 2,305.69, 3,458.14 and 824.59

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Solution

The fourth proportional to 2,305.69, 3,458.14 and 824.59 is: 1,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.69 : 3,458.14 = 824.59 : x
  2. Step 2: Convert to fraction form
    2,305.69/3,458.14 = 824.59/x
  3. Step 3: Cross multiply
    2,305.69x = 3,458.14 × 824.59
  4. Step 4: Simplify right side
    2,305.69x = 2,851,532.32
  5. Step 5: Solve for x
    x = 2,851,532.32/2,305.69
  6. Step 6: Final answer
    x = 1,236.74

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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.