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Finding the Fourth Proportional to 2,976.59, 4,107.65 and 1,650.26

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Solution

The fourth proportional to 2,976.59, 4,107.65 and 1,650.26 is: 2,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.59 : 4,107.65 = 1,650.26 : x
  2. Step 2: Convert to fraction form
    2,976.59/4,107.65 = 1,650.26/x
  3. Step 3: Cross multiply
    2,976.59x = 4,107.65 × 1,650.26
  4. Step 4: Simplify right side
    2,976.59x = 6,778,682.24
  5. Step 5: Solve for x
    x = 6,778,682.24/2,976.59
  6. Step 6: Final answer
    x = 2,277.34

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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.