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Finding the Fourth Proportional to 1,941.85, 2,912.55 and 555.40

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Solution

The fourth proportional to 1,941.85, 2,912.55 and 555.40 is: 833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.85 : 2,912.55 = 555.40 : x
  2. Step 2: Convert to fraction form
    1,941.85/2,912.55 = 555.40/x
  3. Step 3: Cross multiply
    1,941.85x = 2,912.55 × 555.40
  4. Step 4: Simplify right side
    1,941.85x = 1,617,630.27
  5. Step 5: Solve for x
    x = 1,617,630.27/1,941.85
  6. Step 6: Final answer
    x = 833.04

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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.