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Finding the Fourth Proportional to 2,941.19, 4,411.12 and 860.69

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Solution

The fourth proportional to 2,941.19, 4,411.12 and 860.69 is: 1,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.19 : 4,411.12 = 860.69 : x
  2. Step 2: Convert to fraction form
    2,941.19/4,411.12 = 860.69/x
  3. Step 3: Cross multiply
    2,941.19x = 4,411.12 × 860.69
  4. Step 4: Simplify right side
    2,941.19x = 3,796,606.87
  5. Step 5: Solve for x
    x = 3,796,606.87/2,941.19
  6. Step 6: Final answer
    x = 1,290.84

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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.