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Finding the Fourth Proportional to 2,677.66, 4,009.24 and 1,894.44

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Solution

The fourth proportional to 2,677.66, 4,009.24 and 1,894.44 is: 2,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.66 : 4,009.24 = 1,894.44 : x
  2. Step 2: Convert to fraction form
    2,677.66/4,009.24 = 1,894.44/x
  3. Step 3: Cross multiply
    2,677.66x = 4,009.24 × 1,894.44
  4. Step 4: Simplify right side
    2,677.66x = 7,595,264.63
  5. Step 5: Solve for x
    x = 7,595,264.63/2,677.66
  6. Step 6: Final answer
    x = 2,836.53

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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.