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Finding the Fourth Proportional to 2,107.18, 3,159.88 and 646

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Solution

The fourth proportional to 2,107.18, 3,159.88 and 646 is: 968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.18 : 3,159.88 = 646 : x
  2. Step 2: Convert to fraction form
    2,107.18/3,159.88 = 646/x
  3. Step 3: Cross multiply
    2,107.18x = 3,159.88 × 646
  4. Step 4: Simplify right side
    2,107.18x = 2,041,282.48
  5. Step 5: Solve for x
    x = 2,041,282.48/2,107.18
  6. Step 6: Final answer
    x = 968.73

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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.