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Finding the Fourth Proportional to 2,493.84, 3,740.76 and 1,341.84

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Solution

The fourth proportional to 2,493.84, 3,740.76 and 1,341.84 is: 2,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.84 : 3,740.76 = 1,341.84 : x
  2. Step 2: Convert to fraction form
    2,493.84/3,740.76 = 1,341.84/x
  3. Step 3: Cross multiply
    2,493.84x = 3,740.76 × 1,341.84
  4. Step 4: Simplify right side
    2,493.84x = 5,019,501.40
  5. Step 5: Solve for x
    x = 5,019,501.40/2,493.84
  6. Step 6: Final answer
    x = 2,012.76

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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.