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Finding the Fourth Proportional to 3,155.35, 4,732.62 and 964.30

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Solution

The fourth proportional to 3,155.35, 4,732.62 and 964.30 is: 1,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.35 : 4,732.62 = 964.30 : x
  2. Step 2: Convert to fraction form
    3,155.35/4,732.62 = 964.30/x
  3. Step 3: Cross multiply
    3,155.35x = 4,732.62 × 964.30
  4. Step 4: Simplify right side
    3,155.35x = 4,563,665.47
  5. Step 5: Solve for x
    x = 4,563,665.47/3,155.35
  6. Step 6: Final answer
    x = 1,446.33

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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.