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Finding the Fourth Proportional to 1,646.75, 2,468.91 and 997.34

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Solution

The fourth proportional to 1,646.75, 2,468.91 and 997.34 is: 1,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.75 : 2,468.91 = 997.34 : x
  2. Step 2: Convert to fraction form
    1,646.75/2,468.91 = 997.34/x
  3. Step 3: Cross multiply
    1,646.75x = 2,468.91 × 997.34
  4. Step 4: Simplify right side
    1,646.75x = 2,462,342.70
  5. Step 5: Solve for x
    x = 2,462,342.70/1,646.75
  6. Step 6: Final answer
    x = 1,495.27

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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.