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Finding the Fourth Proportional to 2,966.69, 4,094.10 and 1,920.57

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Solution

The fourth proportional to 2,966.69, 4,094.10 and 1,920.57 is: 2,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.69 : 4,094.10 = 1,920.57 : x
  2. Step 2: Convert to fraction form
    2,966.69/4,094.10 = 1,920.57/x
  3. Step 3: Cross multiply
    2,966.69x = 4,094.10 × 1,920.57
  4. Step 4: Simplify right side
    2,966.69x = 7,863,005.64
  5. Step 5: Solve for x
    x = 7,863,005.64/2,966.69
  6. Step 6: Final answer
    x = 2,650.43

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