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Finding the Fourth Proportional to 2,740.50, 3,781.83 and 1,678.68

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Solution

The fourth proportional to 2,740.50, 3,781.83 and 1,678.68 is: 2,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.50 : 3,781.83 = 1,678.68 : x
  2. Step 2: Convert to fraction form
    2,740.50/3,781.83 = 1,678.68/x
  3. Step 3: Cross multiply
    2,740.50x = 3,781.83 × 1,678.68
  4. Step 4: Simplify right side
    2,740.50x = 6,348,482.38
  5. Step 5: Solve for x
    x = 6,348,482.38/2,740.50
  6. Step 6: Final answer
    x = 2,316.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.