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Finding the Fourth Proportional to 2,962.81, 4,445.02 and 1,296.63

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Solution

The fourth proportional to 2,962.81, 4,445.02 and 1,296.63 is: 1,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.81 : 4,445.02 = 1,296.63 : x
  2. Step 2: Convert to fraction form
    2,962.81/4,445.02 = 1,296.63/x
  3. Step 3: Cross multiply
    2,962.81x = 4,445.02 × 1,296.63
  4. Step 4: Simplify right side
    2,962.81x = 5,763,536.79
  5. Step 5: Solve for x
    x = 5,763,536.79/2,962.81
  6. Step 6: Final answer
    x = 1,945.30

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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.