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Finding the Fourth Proportional to 2,649.40, 3,606.16 and 2,649.40

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Solution

The fourth proportional to 2,649.40, 3,606.16 and 2,649.40 is: 3,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.40 : 3,606.16 = 2,649.40 : x
  2. Step 2: Convert to fraction form
    2,649.40/3,606.16 = 2,649.40/x
  3. Step 3: Cross multiply
    2,649.40x = 3,606.16 × 2,649.40
  4. Step 4: Simplify right side
    2,649.40x = 9,554,160.30
  5. Step 5: Solve for x
    x = 9,554,160.30/2,649.40
  6. Step 6: Final answer
    x = 3,606.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.