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Finding the Fourth Proportional to 3,155.18, 4,733.48 and 963.94

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Solution

The fourth proportional to 3,155.18, 4,733.48 and 963.94 is: 1,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.18 : 4,733.48 = 963.94 : x
  2. Step 2: Convert to fraction form
    3,155.18/4,733.48 = 963.94/x
  3. Step 3: Cross multiply
    3,155.18x = 4,733.48 × 963.94
  4. Step 4: Simplify right side
    3,155.18x = 4,562,790.71
  5. Step 5: Solve for x
    x = 4,562,790.71/3,155.18
  6. Step 6: Final answer
    x = 1,446.13

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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.