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Finding the Fourth Proportional to 3,155.69, 4,733.55 and 964.46

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Solution

The fourth proportional to 3,155.69, 4,733.55 and 964.46 is: 1,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.69 : 4,733.55 = 964.46 : x
  2. Step 2: Convert to fraction form
    3,155.69/4,733.55 = 964.46/x
  3. Step 3: Cross multiply
    3,155.69x = 4,733.55 × 964.46
  4. Step 4: Simplify right side
    3,155.69x = 4,565,295.97
  5. Step 5: Solve for x
    x = 4,565,295.97/3,155.69
  6. Step 6: Final answer
    x = 1,446.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.