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Finding the Fourth Proportional to 2,783.49, 3,839.85 and 1,897.89

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Solution

The fourth proportional to 2,783.49, 3,839.85 and 1,897.89 is: 2,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.49 : 3,839.85 = 1,897.89 : x
  2. Step 2: Convert to fraction form
    2,783.49/3,839.85 = 1,897.89/x
  3. Step 3: Cross multiply
    2,783.49x = 3,839.85 × 1,897.89
  4. Step 4: Simplify right side
    2,783.49x = 7,287,612.92
  5. Step 5: Solve for x
    x = 7,287,612.92/2,783.49
  6. Step 6: Final answer
    x = 2,618.16

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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.