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Finding the Fourth Proportional to 2,913.34, 4,370.28 and 965.56

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Solution

The fourth proportional to 2,913.34, 4,370.28 and 965.56 is: 1,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.34 : 4,370.28 = 965.56 : x
  2. Step 2: Convert to fraction form
    2,913.34/4,370.28 = 965.56/x
  3. Step 3: Cross multiply
    2,913.34x = 4,370.28 × 965.56
  4. Step 4: Simplify right side
    2,913.34x = 4,219,767.56
  5. Step 5: Solve for x
    x = 4,219,767.56/2,913.34
  6. Step 6: Final answer
    x = 1,448.43

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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.