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Finding the Fourth Proportional to 1,664.10, 2,296.08 and 965.34

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Solution

The fourth proportional to 1,664.10, 2,296.08 and 965.34 is: 1,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.10 : 2,296.08 = 965.34 : x
  2. Step 2: Convert to fraction form
    1,664.10/2,296.08 = 965.34/x
  3. Step 3: Cross multiply
    1,664.10x = 2,296.08 × 965.34
  4. Step 4: Simplify right side
    1,664.10x = 2,216,497.87
  5. Step 5: Solve for x
    x = 2,216,497.87/1,664.10
  6. Step 6: Final answer
    x = 1,331.95

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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.