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Finding the Fourth Proportional to 1,544.85, 2,317.26 and 815.85

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Solution

The fourth proportional to 1,544.85, 2,317.26 and 815.85 is: 1,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.85 : 2,317.26 = 815.85 : x
  2. Step 2: Convert to fraction form
    1,544.85/2,317.26 = 815.85/x
  3. Step 3: Cross multiply
    1,544.85x = 2,317.26 × 815.85
  4. Step 4: Simplify right side
    1,544.85x = 1,890,536.57
  5. Step 5: Solve for x
    x = 1,890,536.57/1,544.85
  6. Step 6: Final answer
    x = 1,223.77

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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.