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Finding the Fourth Proportional to 2,783.57, 3,837.78 and 1,987.84

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Solution

The fourth proportional to 2,783.57, 3,837.78 and 1,987.84 is: 2,740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.57 : 3,837.78 = 1,987.84 : x
  2. Step 2: Convert to fraction form
    2,783.57/3,837.78 = 1,987.84/x
  3. Step 3: Cross multiply
    2,783.57x = 3,837.78 × 1,987.84
  4. Step 4: Simplify right side
    2,783.57x = 7,628,897.39
  5. Step 5: Solve for x
    x = 7,628,897.39/2,783.57
  6. Step 6: Final answer
    x = 2,740.69

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