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Finding the Fourth Proportional to 1,468.87, 2,029.23 and 965.90

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Solution

The fourth proportional to 1,468.87, 2,029.23 and 965.90 is: 1,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.87 : 2,029.23 = 965.90 : x
  2. Step 2: Convert to fraction form
    1,468.87/2,029.23 = 965.90/x
  3. Step 3: Cross multiply
    1,468.87x = 2,029.23 × 965.90
  4. Step 4: Simplify right side
    1,468.87x = 1,960,038.33
  5. Step 5: Solve for x
    x = 1,960,038.33/1,468.87
  6. Step 6: Final answer
    x = 1,334.39

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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.