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Finding the Fourth Proportional to 2,953.72, 4,429.02 and 1,309.55

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Solution

The fourth proportional to 2,953.72, 4,429.02 and 1,309.55 is: 1,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.72 : 4,429.02 = 1,309.55 : x
  2. Step 2: Convert to fraction form
    2,953.72/4,429.02 = 1,309.55/x
  3. Step 3: Cross multiply
    2,953.72x = 4,429.02 × 1,309.55
  4. Step 4: Simplify right side
    2,953.72x = 5,800,023.14
  5. Step 5: Solve for x
    x = 5,800,023.14/2,953.72
  6. Step 6: Final answer
    x = 1,963.64

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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.