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Finding the Fourth Proportional to 1,223.38, 1,835.05 and 1,018.09

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Solution

The fourth proportional to 1,223.38, 1,835.05 and 1,018.09 is: 1,527.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,835.05 = 1,018.09 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,835.05 = 1,018.09/x
  3. Step 3: Cross multiply
    1,223.38x = 1,835.05 × 1,018.09
  4. Step 4: Simplify right side
    1,223.38x = 1,868,246.05
  5. Step 5: Solve for x
    x = 1,868,246.05/1,223.38
  6. Step 6: Final answer
    x = 1,527.12

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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.