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Finding the Fourth Proportional to 1,612.94, 2,422.64 and 1,567.58

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Solution

The fourth proportional to 1,612.94, 2,422.64 and 1,567.58 is: 2,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.94 : 2,422.64 = 1,567.58 : x
  2. Step 2: Convert to fraction form
    1,612.94/2,422.64 = 1,567.58/x
  3. Step 3: Cross multiply
    1,612.94x = 2,422.64 × 1,567.58
  4. Step 4: Simplify right side
    1,612.94x = 3,797,682.01
  5. Step 5: Solve for x
    x = 3,797,682.01/1,612.94
  6. Step 6: Final answer
    x = 2,354.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.