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Finding the Fourth Proportional to 2,953.38, 4,430.07 and 2,772.96

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Solution

The fourth proportional to 2,953.38, 4,430.07 and 2,772.96 is: 4,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.38 : 4,430.07 = 2,772.96 : x
  2. Step 2: Convert to fraction form
    2,953.38/4,430.07 = 2,772.96/x
  3. Step 3: Cross multiply
    2,953.38x = 4,430.07 × 2,772.96
  4. Step 4: Simplify right side
    2,953.38x = 12,284,400.69
  5. Step 5: Solve for x
    x = 12,284,400.69/2,953.38
  6. Step 6: Final answer
    x = 4,159.43

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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.