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Finding the Fourth Proportional to 2,642.56, 3,646.48 and 1,523.28

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Solution

The fourth proportional to 2,642.56, 3,646.48 and 1,523.28 is: 2,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.56 : 3,646.48 = 1,523.28 : x
  2. Step 2: Convert to fraction form
    2,642.56/3,646.48 = 1,523.28/x
  3. Step 3: Cross multiply
    2,642.56x = 3,646.48 × 1,523.28
  4. Step 4: Simplify right side
    2,642.56x = 5,554,610.05
  5. Step 5: Solve for x
    x = 5,554,610.05/2,642.56
  6. Step 6: Final answer
    x = 2,101.98

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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.