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Finding the Fourth Proportional to 1,885.33, 2,827.54 and 789.72

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Solution

The fourth proportional to 1,885.33, 2,827.54 and 789.72 is: 1,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.33 : 2,827.54 = 789.72 : x
  2. Step 2: Convert to fraction form
    1,885.33/2,827.54 = 789.72/x
  3. Step 3: Cross multiply
    1,885.33x = 2,827.54 × 789.72
  4. Step 4: Simplify right side
    1,885.33x = 2,232,964.89
  5. Step 5: Solve for x
    x = 2,232,964.89/1,885.33
  6. Step 6: Final answer
    x = 1,184.39

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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.