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Finding the Fourth Proportional to 2,478.84, 3,716.34 and 1,072.44

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Solution

The fourth proportional to 2,478.84, 3,716.34 and 1,072.44 is: 1,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.84 : 3,716.34 = 1,072.44 : x
  2. Step 2: Convert to fraction form
    2,478.84/3,716.34 = 1,072.44/x
  3. Step 3: Cross multiply
    2,478.84x = 3,716.34 × 1,072.44
  4. Step 4: Simplify right side
    2,478.84x = 3,985,551.67
  5. Step 5: Solve for x
    x = 3,985,551.67/2,478.84
  6. Step 6: Final answer
    x = 1,607.83

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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.