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Finding the Fourth Proportional to 1,595.35, 2,201.63 and 965.76

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Solution

The fourth proportional to 1,595.35, 2,201.63 and 965.76 is: 1,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.35 : 2,201.63 = 965.76 : x
  2. Step 2: Convert to fraction form
    1,595.35/2,201.63 = 965.76/x
  3. Step 3: Cross multiply
    1,595.35x = 2,201.63 × 965.76
  4. Step 4: Simplify right side
    1,595.35x = 2,126,246.19
  5. Step 5: Solve for x
    x = 2,126,246.19/1,595.35
  6. Step 6: Final answer
    x = 1,332.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.