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Finding the Fourth Proportional to 2,976.72, 4,107.90 and 1,650.46

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Solution

The fourth proportional to 2,976.72, 4,107.90 and 1,650.46 is: 2,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.72 : 4,107.90 = 1,650.46 : x
  2. Step 2: Convert to fraction form
    2,976.72/4,107.90 = 1,650.46/x
  3. Step 3: Cross multiply
    2,976.72x = 4,107.90 × 1,650.46
  4. Step 4: Simplify right side
    2,976.72x = 6,779,924.63
  5. Step 5: Solve for x
    x = 6,779,924.63/2,976.72
  6. Step 6: Final answer
    x = 2,277.65

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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.