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Finding the Fourth Proportional to 2,146.66, 2,962.65 and 1,214.98

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Solution

The fourth proportional to 2,146.66, 2,962.65 and 1,214.98 is: 1,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.66 : 2,962.65 = 1,214.98 : x
  2. Step 2: Convert to fraction form
    2,146.66/2,962.65 = 1,214.98/x
  3. Step 3: Cross multiply
    2,146.66x = 2,962.65 × 1,214.98
  4. Step 4: Simplify right side
    2,146.66x = 3,599,560.50
  5. Step 5: Solve for x
    x = 3,599,560.50/2,146.66
  6. Step 6: Final answer
    x = 1,676.82

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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.