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Finding the Fourth Proportional to 2,607, 3,912.01 and 964.68

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Solution

The fourth proportional to 2,607, 3,912.01 and 964.68 is: 1,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607 : 3,912.01 = 964.68 : x
  2. Step 2: Convert to fraction form
    2,607/3,912.01 = 964.68/x
  3. Step 3: Cross multiply
    2,607x = 3,912.01 × 964.68
  4. Step 4: Simplify right side
    2,607x = 3,773,835.40
  5. Step 5: Solve for x
    x = 3,773,835.40/2,607
  6. Step 6: Final answer
    x = 1,447.58

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Why These Related Problems?

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