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Finding the Fourth Proportional to 2,273.69, 3,409.90 and 630.11

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Solution

The fourth proportional to 2,273.69, 3,409.90 and 630.11 is: 944.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.69 : 3,409.90 = 630.11 : x
  2. Step 2: Convert to fraction form
    2,273.69/3,409.90 = 630.11/x
  3. Step 3: Cross multiply
    2,273.69x = 3,409.90 × 630.11
  4. Step 4: Simplify right side
    2,273.69x = 2,148,612.09
  5. Step 5: Solve for x
    x = 2,148,612.09/2,273.69
  6. Step 6: Final answer
    x = 944.99

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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.