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Finding the Fourth Proportional to 1,783.12, 2,675.02 and 809.29

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Solution

The fourth proportional to 1,783.12, 2,675.02 and 809.29 is: 1,214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.12 : 2,675.02 = 809.29 : x
  2. Step 2: Convert to fraction form
    1,783.12/2,675.02 = 809.29/x
  3. Step 3: Cross multiply
    1,783.12x = 2,675.02 × 809.29
  4. Step 4: Simplify right side
    1,783.12x = 2,164,862.89
  5. Step 5: Solve for x
    x = 2,164,862.89/1,783.12
  6. Step 6: Final answer
    x = 1,214.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.