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Finding the Fourth Proportional to 2,146.50, 2,962.18 and 1,215

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Solution

The fourth proportional to 2,146.50, 2,962.18 and 1,215 is: 1,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.50 : 2,962.18 = 1,215 : x
  2. Step 2: Convert to fraction form
    2,146.50/2,962.18 = 1,215/x
  3. Step 3: Cross multiply
    2,146.50x = 2,962.18 × 1,215
  4. Step 4: Simplify right side
    2,146.50x = 3,599,048.70
  5. Step 5: Solve for x
    x = 3,599,048.70/2,146.50
  6. Step 6: Final answer
    x = 1,676.71

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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.