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Finding the Fourth Proportional to 2,633.70, 3,636.21 and 1,689.90

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Solution

The fourth proportional to 2,633.70, 3,636.21 and 1,689.90 is: 2,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.70 : 3,636.21 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    2,633.70/3,636.21 = 1,689.90/x
  3. Step 3: Cross multiply
    2,633.70x = 3,636.21 × 1,689.90
  4. Step 4: Simplify right side
    2,633.70x = 6,144,831.28
  5. Step 5: Solve for x
    x = 6,144,831.28/2,633.70
  6. Step 6: Final answer
    x = 2,333.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.