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Finding the Fourth Proportional to 2,106.08, 3,159.92 and 645.28

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Solution

The fourth proportional to 2,106.08, 3,159.92 and 645.28 is: 968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.08 : 3,159.92 = 645.28 : x
  2. Step 2: Convert to fraction form
    2,106.08/3,159.92 = 645.28/x
  3. Step 3: Cross multiply
    2,106.08x = 3,159.92 × 645.28
  4. Step 4: Simplify right side
    2,106.08x = 2,039,033.18
  5. Step 5: Solve for x
    x = 2,039,033.18/2,106.08
  6. Step 6: Final answer
    x = 968.17

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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.