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Finding the Fourth Proportional to 2,666.26, 4,001.76 and 2,656.34

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Solution

The fourth proportional to 2,666.26, 4,001.76 and 2,656.34 is: 3,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.26 : 4,001.76 = 2,656.34 : x
  2. Step 2: Convert to fraction form
    2,666.26/4,001.76 = 2,656.34/x
  3. Step 3: Cross multiply
    2,666.26x = 4,001.76 × 2,656.34
  4. Step 4: Simplify right side
    2,666.26x = 10,630,015.15
  5. Step 5: Solve for x
    x = 10,630,015.15/2,666.26
  6. Step 6: Final answer
    x = 3,986.87

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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.