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Finding the Fourth Proportional to 1,996.83, 2,977.65 and 1,858.32

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Solution

The fourth proportional to 1,996.83, 2,977.65 and 1,858.32 is: 2,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.83 : 2,977.65 = 1,858.32 : x
  2. Step 2: Convert to fraction form
    1,996.83/2,977.65 = 1,858.32/x
  3. Step 3: Cross multiply
    1,996.83x = 2,977.65 × 1,858.32
  4. Step 4: Simplify right side
    1,996.83x = 5,533,426.55
  5. Step 5: Solve for x
    x = 5,533,426.55/1,996.83
  6. Step 6: Final answer
    x = 2,771.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.