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Finding the Fourth Proportional to 2,642.46, 3,646.53 and 2,012.28

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Solution

The fourth proportional to 2,642.46, 3,646.53 and 2,012.28 is: 2,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.46 : 3,646.53 = 2,012.28 : x
  2. Step 2: Convert to fraction form
    2,642.46/3,646.53 = 2,012.28/x
  3. Step 3: Cross multiply
    2,642.46x = 3,646.53 × 2,012.28
  4. Step 4: Simplify right side
    2,642.46x = 7,337,839.39
  5. Step 5: Solve for x
    x = 7,337,839.39/2,642.46
  6. Step 6: Final answer
    x = 2,776.90

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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.