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Finding the Fourth Proportional to 3,155.93, 4,733.72 and 964.49

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Solution

The fourth proportional to 3,155.93, 4,733.72 and 964.49 is: 1,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.93 : 4,733.72 = 964.49 : x
  2. Step 2: Convert to fraction form
    3,155.93/4,733.72 = 964.49/x
  3. Step 3: Cross multiply
    3,155.93x = 4,733.72 × 964.49
  4. Step 4: Simplify right side
    3,155.93x = 4,565,639.85
  5. Step 5: Solve for x
    x = 4,565,639.85/3,155.93
  6. Step 6: Final answer
    x = 1,446.68

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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.