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Finding the Fourth Proportional to 2,421.37, 3,628.86 and 959.72

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Solution

The fourth proportional to 2,421.37, 3,628.86 and 959.72 is: 1,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.37 : 3,628.86 = 959.72 : x
  2. Step 2: Convert to fraction form
    2,421.37/3,628.86 = 959.72/x
  3. Step 3: Cross multiply
    2,421.37x = 3,628.86 × 959.72
  4. Step 4: Simplify right side
    2,421.37x = 3,482,698.59
  5. Step 5: Solve for x
    x = 3,482,698.59/2,421.37
  6. Step 6: Final answer
    x = 1,438.32

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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.