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Finding the Fourth Proportional to 2,656.01, 3,976.71 and 2,004.77

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Solution

The fourth proportional to 2,656.01, 3,976.71 and 2,004.77 is: 3,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.01 : 3,976.71 = 2,004.77 : x
  2. Step 2: Convert to fraction form
    2,656.01/3,976.71 = 2,004.77/x
  3. Step 3: Cross multiply
    2,656.01x = 3,976.71 × 2,004.77
  4. Step 4: Simplify right side
    2,656.01x = 7,972,388.91
  5. Step 5: Solve for x
    x = 7,972,388.91/2,656.01
  6. Step 6: Final answer
    x = 3,001.64

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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.