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Finding the Fourth Proportional to 2,607.72, 3,913.12 and 965.42

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Solution

The fourth proportional to 2,607.72, 3,913.12 and 965.42 is: 1,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.72 : 3,913.12 = 965.42 : x
  2. Step 2: Convert to fraction form
    2,607.72/3,913.12 = 965.42/x
  3. Step 3: Cross multiply
    2,607.72x = 3,913.12 × 965.42
  4. Step 4: Simplify right side
    2,607.72x = 3,777,804.31
  5. Step 5: Solve for x
    x = 3,777,804.31/2,607.72
  6. Step 6: Final answer
    x = 1,448.70

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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.