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Finding the Fourth Proportional to 2,893.84, 4,346.06 and 2,649.86

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Solution

The fourth proportional to 2,893.84, 4,346.06 and 2,649.86 is: 3,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.84 : 4,346.06 = 2,649.86 : x
  2. Step 2: Convert to fraction form
    2,893.84/4,346.06 = 2,649.86/x
  3. Step 3: Cross multiply
    2,893.84x = 4,346.06 × 2,649.86
  4. Step 4: Simplify right side
    2,893.84x = 11,516,425.51
  5. Step 5: Solve for x
    x = 11,516,425.51/2,893.84
  6. Step 6: Final answer
    x = 3,979.63

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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.