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Finding the Fourth Proportional to 2,641.04, 3,646.32 and 1,941.20

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Solution

The fourth proportional to 2,641.04, 3,646.32 and 1,941.20 is: 2,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.04 : 3,646.32 = 1,941.20 : x
  2. Step 2: Convert to fraction form
    2,641.04/3,646.32 = 1,941.20/x
  3. Step 3: Cross multiply
    2,641.04x = 3,646.32 × 1,941.20
  4. Step 4: Simplify right side
    2,641.04x = 7,078,236.38
  5. Step 5: Solve for x
    x = 7,078,236.38/2,641.04
  6. Step 6: Final answer
    x = 2,680.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.