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Finding the Fourth Proportional to 2,642.52, 3,646.62 and 1,594.68

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Solution

The fourth proportional to 2,642.52, 3,646.62 and 1,594.68 is: 2,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.52 : 3,646.62 = 1,594.68 : x
  2. Step 2: Convert to fraction form
    2,642.52/3,646.62 = 1,594.68/x
  3. Step 3: Cross multiply
    2,642.52x = 3,646.62 × 1,594.68
  4. Step 4: Simplify right side
    2,642.52x = 5,815,191.98
  5. Step 5: Solve for x
    x = 5,815,191.98/2,642.52
  6. Step 6: Final answer
    x = 2,200.62

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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.