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Finding the Fourth Proportional to 1,941, 2,678.58 and 1,113

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Solution

The fourth proportional to 1,941, 2,678.58 and 1,113 is: 1,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941 : 2,678.58 = 1,113 : x
  2. Step 2: Convert to fraction form
    1,941/2,678.58 = 1,113/x
  3. Step 3: Cross multiply
    1,941x = 2,678.58 × 1,113
  4. Step 4: Simplify right side
    1,941x = 2,981,259.54
  5. Step 5: Solve for x
    x = 2,981,259.54/1,941
  6. Step 6: Final answer
    x = 1,535.94

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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.