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Finding the Fourth Proportional to 2,107.63, 3,161.57 and 646.79

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Solution

The fourth proportional to 2,107.63, 3,161.57 and 646.79 is: 970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.63 : 3,161.57 = 646.79 : x
  2. Step 2: Convert to fraction form
    2,107.63/3,161.57 = 646.79/x
  3. Step 3: Cross multiply
    2,107.63x = 3,161.57 × 646.79
  4. Step 4: Simplify right side
    2,107.63x = 2,044,871.86
  5. Step 5: Solve for x
    x = 2,044,871.86/2,107.63
  6. Step 6: Final answer
    x = 970.22

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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.