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Finding the Fourth Proportional to 2,809.93, 4,213.86 and 935.47

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Solution

The fourth proportional to 2,809.93, 4,213.86 and 935.47 is: 1,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.93 : 4,213.86 = 935.47 : x
  2. Step 2: Convert to fraction form
    2,809.93/4,213.86 = 935.47/x
  3. Step 3: Cross multiply
    2,809.93x = 4,213.86 × 935.47
  4. Step 4: Simplify right side
    2,809.93x = 3,941,939.61
  5. Step 5: Solve for x
    x = 3,941,939.61/2,809.93
  6. Step 6: Final answer
    x = 1,402.86

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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.