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Finding the Fourth Proportional to 1,646.76, 2,468.92 and 997.34

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Solution

The fourth proportional to 1,646.76, 2,468.92 and 997.34 is: 1,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.76 : 2,468.92 = 997.34 : x
  2. Step 2: Convert to fraction form
    1,646.76/2,468.92 = 997.34/x
  3. Step 3: Cross multiply
    1,646.76x = 2,468.92 × 997.34
  4. Step 4: Simplify right side
    1,646.76x = 2,462,352.67
  5. Step 5: Solve for x
    x = 2,462,352.67/1,646.76
  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.