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Finding the Fourth Proportional to 2,107.38, 3,159.93 and 646.14

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Solution

The fourth proportional to 2,107.38, 3,159.93 and 646.14 is: 968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.38 : 3,159.93 = 646.14 : x
  2. Step 2: Convert to fraction form
    2,107.38/3,159.93 = 646.14/x
  3. Step 3: Cross multiply
    2,107.38x = 3,159.93 × 646.14
  4. Step 4: Simplify right side
    2,107.38x = 2,041,757.17
  5. Step 5: Solve for x
    x = 2,041,757.17/2,107.38
  6. Step 6: Final answer
    x = 968.86

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1.5x scale

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.