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Finding the Fourth Proportional to 2,274.08, 3,411.25 and 630.59

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Solution

The fourth proportional to 2,274.08, 3,411.25 and 630.59 is: 945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.08 : 3,411.25 = 630.59 : x
  2. Step 2: Convert to fraction form
    2,274.08/3,411.25 = 630.59/x
  3. Step 3: Cross multiply
    2,274.08x = 3,411.25 × 630.59
  4. Step 4: Simplify right side
    2,274.08x = 2,151,081.50
  5. Step 5: Solve for x
    x = 2,151,081.50/2,274.08
  6. Step 6: Final answer
    x = 945.91

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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.