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Finding the Fourth Proportional to 1,636.27, 2,454.84 and 712.02

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Solution

The fourth proportional to 1,636.27, 2,454.84 and 712.02 is: 1,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.27 : 2,454.84 = 712.02 : x
  2. Step 2: Convert to fraction form
    1,636.27/2,454.84 = 712.02/x
  3. Step 3: Cross multiply
    1,636.27x = 2,454.84 × 712.02
  4. Step 4: Simplify right side
    1,636.27x = 1,747,904.38
  5. Step 5: Solve for x
    x = 1,747,904.38/1,636.27
  6. Step 6: Final answer
    x = 1,068.23

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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.