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Finding the Fourth Proportional to 2,674.13, 4,011.19 and 942.75

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Solution

The fourth proportional to 2,674.13, 4,011.19 and 942.75 is: 1,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.13 : 4,011.19 = 942.75 : x
  2. Step 2: Convert to fraction form
    2,674.13/4,011.19 = 942.75/x
  3. Step 3: Cross multiply
    2,674.13x = 4,011.19 × 942.75
  4. Step 4: Simplify right side
    2,674.13x = 3,781,547.02
  5. Step 5: Solve for x
    x = 3,781,547.02/2,674.13
  6. Step 6: Final answer
    x = 1,414.13

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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.