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Finding the Fourth Proportional to 1,941.19, 2,911.22 and 770.92

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Solution

The fourth proportional to 1,941.19, 2,911.22 and 770.92 is: 1,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.19 : 2,911.22 = 770.92 : x
  2. Step 2: Convert to fraction form
    1,941.19/2,911.22 = 770.92/x
  3. Step 3: Cross multiply
    1,941.19x = 2,911.22 × 770.92
  4. Step 4: Simplify right side
    1,941.19x = 2,244,307.31
  5. Step 5: Solve for x
    x = 2,244,307.31/1,941.19
  6. Step 6: Final answer
    x = 1,156.15

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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.