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Finding the Fourth Proportional to 1,636.84, 2,454.30 and 1,123.24

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Solution

The fourth proportional to 1,636.84, 2,454.30 and 1,123.24 is: 1,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.84 : 2,454.30 = 1,123.24 : x
  2. Step 2: Convert to fraction form
    1,636.84/2,454.30 = 1,123.24/x
  3. Step 3: Cross multiply
    1,636.84x = 2,454.30 × 1,123.24
  4. Step 4: Simplify right side
    1,636.84x = 2,756,767.93
  5. Step 5: Solve for x
    x = 2,756,767.93/1,636.84
  6. Step 6: Final answer
    x = 1,684.20

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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.