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Finding the Fourth Proportional to 2,146.52, 2,961.76 and 1,214.84

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Solution

The fourth proportional to 2,146.52, 2,961.76 and 1,214.84 is: 1,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.52 : 2,961.76 = 1,214.84 : x
  2. Step 2: Convert to fraction form
    2,146.52/2,961.76 = 1,214.84/x
  3. Step 3: Cross multiply
    2,146.52x = 2,961.76 × 1,214.84
  4. Step 4: Simplify right side
    2,146.52x = 3,598,064.52
  5. Step 5: Solve for x
    x = 3,598,064.52/2,146.52
  6. Step 6: Final answer
    x = 1,676.23

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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.