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Finding the Fourth Proportional to 2,911.74, 4,368.33 and 963.96

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Solution

The fourth proportional to 2,911.74, 4,368.33 and 963.96 is: 1,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.74 : 4,368.33 = 963.96 : x
  2. Step 2: Convert to fraction form
    2,911.74/4,368.33 = 963.96/x
  3. Step 3: Cross multiply
    2,911.74x = 4,368.33 × 963.96
  4. Step 4: Simplify right side
    2,911.74x = 4,210,895.39
  5. Step 5: Solve for x
    x = 4,210,895.39/2,911.74
  6. Step 6: Final answer
    x = 1,446.18

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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.