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Finding the Fourth Proportional to 2,910.42, 4,365.71 and 962.63

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Solution

The fourth proportional to 2,910.42, 4,365.71 and 962.63 is: 1,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.42 : 4,365.71 = 962.63 : x
  2. Step 2: Convert to fraction form
    2,910.42/4,365.71 = 962.63/x
  3. Step 3: Cross multiply
    2,910.42x = 4,365.71 × 962.63
  4. Step 4: Simplify right side
    2,910.42x = 4,202,544.00
  5. Step 5: Solve for x
    x = 4,202,544.00/2,910.42
  6. Step 6: Final answer
    x = 1,443.96

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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.