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Finding the Fourth Proportional to 2,493.84, 3,740.76 and 1,474.32

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Solution

The fourth proportional to 2,493.84, 3,740.76 and 1,474.32 is: 2,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.84 : 3,740.76 = 1,474.32 : x
  2. Step 2: Convert to fraction form
    2,493.84/3,740.76 = 1,474.32/x
  3. Step 3: Cross multiply
    2,493.84x = 3,740.76 × 1,474.32
  4. Step 4: Simplify right side
    2,493.84x = 5,515,077.28
  5. Step 5: Solve for x
    x = 5,515,077.28/2,493.84
  6. Step 6: Final answer
    x = 2,211.48

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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.