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Finding the Fourth Proportional to 2,692.51, 4,036.33 and 960.73

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Solution

The fourth proportional to 2,692.51, 4,036.33 and 960.73 is: 1,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.51 : 4,036.33 = 960.73 : x
  2. Step 2: Convert to fraction form
    2,692.51/4,036.33 = 960.73/x
  3. Step 3: Cross multiply
    2,692.51x = 4,036.33 × 960.73
  4. Step 4: Simplify right side
    2,692.51x = 3,877,823.32
  5. Step 5: Solve for x
    x = 3,877,823.32/2,692.51
  6. Step 6: Final answer
    x = 1,440.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.