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Finding the Fourth Proportional to 1,885.32, 2,822.31 and 1,017

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Solution

The fourth proportional to 1,885.32, 2,822.31 and 1,017 is: 1,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.32 : 2,822.31 = 1,017 : x
  2. Step 2: Convert to fraction form
    1,885.32/2,822.31 = 1,017/x
  3. Step 3: Cross multiply
    1,885.32x = 2,822.31 × 1,017
  4. Step 4: Simplify right side
    1,885.32x = 2,870,289.27
  5. Step 5: Solve for x
    x = 2,870,289.27/1,885.32
  6. Step 6: Final answer
    x = 1,522.44

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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.