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Finding the Fourth Proportional to 2,107.61, 3,160.38 and 646.41

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Solution

The fourth proportional to 2,107.61, 3,160.38 and 646.41 is: 969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.61 : 3,160.38 = 646.41 : x
  2. Step 2: Convert to fraction form
    2,107.61/3,160.38 = 646.41/x
  3. Step 3: Cross multiply
    2,107.61x = 3,160.38 × 646.41
  4. Step 4: Simplify right side
    2,107.61x = 2,042,898.00
  5. Step 5: Solve for x
    x = 2,042,898.00/2,107.61
  6. Step 6: Final answer
    x = 969.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.