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Finding the Fourth Proportional to 2,107.29, 3,161.61 and 646.74

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Solution

The fourth proportional to 2,107.29, 3,161.61 and 646.74 is: 970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.29 : 3,161.61 = 646.74 : x
  2. Step 2: Convert to fraction form
    2,107.29/3,161.61 = 646.74/x
  3. Step 3: Cross multiply
    2,107.29x = 3,161.61 × 646.74
  4. Step 4: Simplify right side
    2,107.29x = 2,044,739.65
  5. Step 5: Solve for x
    x = 2,044,739.65/2,107.29
  6. Step 6: Final answer
    x = 970.32

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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.