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Finding the Fourth Proportional to 1,673.80, 2,309.80 and 965.63

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Solution

The fourth proportional to 1,673.80, 2,309.80 and 965.63 is: 1,332.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.80 : 2,309.80 = 965.63 : x
  2. Step 2: Convert to fraction form
    1,673.80/2,309.80 = 965.63/x
  3. Step 3: Cross multiply
    1,673.80x = 2,309.80 × 965.63
  4. Step 4: Simplify right side
    1,673.80x = 2,230,412.17
  5. Step 5: Solve for x
    x = 2,230,412.17/1,673.80
  6. Step 6: Final answer
    x = 1,332.54

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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.