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Finding the Fourth Proportional to 2,938.47, 4,406.66 and 857.93

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Solution

The fourth proportional to 2,938.47, 4,406.66 and 857.93 is: 1,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.47 : 4,406.66 = 857.93 : x
  2. Step 2: Convert to fraction form
    2,938.47/4,406.66 = 857.93/x
  3. Step 3: Cross multiply
    2,938.47x = 4,406.66 × 857.93
  4. Step 4: Simplify right side
    2,938.47x = 3,780,612.54
  5. Step 5: Solve for x
    x = 3,780,612.54/2,938.47
  6. Step 6: Final answer
    x = 1,286.59

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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.