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Finding the Fourth Proportional to 2,103.53, 3,155.36 and 642.83

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Solution

The fourth proportional to 2,103.53, 3,155.36 and 642.83 is: 964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.53 : 3,155.36 = 642.83 : x
  2. Step 2: Convert to fraction form
    2,103.53/3,155.36 = 642.83/x
  3. Step 3: Cross multiply
    2,103.53x = 3,155.36 × 642.83
  4. Step 4: Simplify right side
    2,103.53x = 2,028,341.08
  5. Step 5: Solve for x
    x = 2,028,341.08/2,103.53
  6. Step 6: Final answer
    x = 964.26

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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.