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Finding the Fourth Proportional to 2,421.44, 3,632.93 and 959.75

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Solution

The fourth proportional to 2,421.44, 3,632.93 and 959.75 is: 1,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.44 : 3,632.93 = 959.75 : x
  2. Step 2: Convert to fraction form
    2,421.44/3,632.93 = 959.75/x
  3. Step 3: Cross multiply
    2,421.44x = 3,632.93 × 959.75
  4. Step 4: Simplify right side
    2,421.44x = 3,486,699.77
  5. Step 5: Solve for x
    x = 3,486,699.77/2,421.44
  6. Step 6: Final answer
    x = 1,439.93

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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.