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Finding the Fourth Proportional to 1,672.58, 2,509.14 and 562.25

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Solution

The fourth proportional to 1,672.58, 2,509.14 and 562.25 is: 843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.58 : 2,509.14 = 562.25 : x
  2. Step 2: Convert to fraction form
    1,672.58/2,509.14 = 562.25/x
  3. Step 3: Cross multiply
    1,672.58x = 2,509.14 × 562.25
  4. Step 4: Simplify right side
    1,672.58x = 1,410,770.24
  5. Step 5: Solve for x
    x = 1,410,770.24/1,672.58
  6. Step 6: Final answer
    x = 843.47

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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.