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Finding the Fourth Proportional to 2,103.84, 3,156.10 and 642.88

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Solution

The fourth proportional to 2,103.84, 3,156.10 and 642.88 is: 964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.84 : 3,156.10 = 642.88 : x
  2. Step 2: Convert to fraction form
    2,103.84/3,156.10 = 642.88/x
  3. Step 3: Cross multiply
    2,103.84x = 3,156.10 × 642.88
  4. Step 4: Simplify right side
    2,103.84x = 2,028,993.57
  5. Step 5: Solve for x
    x = 2,028,993.57/2,103.84
  6. Step 6: Final answer
    x = 964.42

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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.