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Finding the Fourth Proportional to 1,595.14, 2,201.33 and 965.53

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Solution

The fourth proportional to 1,595.14, 2,201.33 and 965.53 is: 1,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.14 : 2,201.33 = 965.53 : x
  2. Step 2: Convert to fraction form
    1,595.14/2,201.33 = 965.53/x
  3. Step 3: Cross multiply
    1,595.14x = 2,201.33 × 965.53
  4. Step 4: Simplify right side
    1,595.14x = 2,125,455.32
  5. Step 5: Solve for x
    x = 2,125,455.32/1,595.14
  6. Step 6: Final answer
    x = 1,332.46

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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.