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Finding the Fourth Proportional to 2,045.44, 3,068.14 and 1,223.94

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Solution

The fourth proportional to 2,045.44, 3,068.14 and 1,223.94 is: 1,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.44 : 3,068.14 = 1,223.94 : x
  2. Step 2: Convert to fraction form
    2,045.44/3,068.14 = 1,223.94/x
  3. Step 3: Cross multiply
    2,045.44x = 3,068.14 × 1,223.94
  4. Step 4: Simplify right side
    2,045.44x = 3,755,219.27
  5. Step 5: Solve for x
    x = 3,755,219.27/2,045.44
  6. Step 6: Final answer
    x = 1,835.90

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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.