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Finding the Fourth Proportional to 3,116.42, 4,676.66 and 1,656.60

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Solution

The fourth proportional to 3,116.42, 4,676.66 and 1,656.60 is: 2,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.42 : 4,676.66 = 1,656.60 : x
  2. Step 2: Convert to fraction form
    3,116.42/4,676.66 = 1,656.60/x
  3. Step 3: Cross multiply
    3,116.42x = 4,676.66 × 1,656.60
  4. Step 4: Simplify right side
    3,116.42x = 7,747,359.10
  5. Step 5: Solve for x
    x = 7,747,359.10/3,116.42
  6. Step 6: Final answer
    x = 2,485.98

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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.