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Finding the Fourth Proportional to 2,943.61, 4,057.90 and 2,056.66

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Solution

The fourth proportional to 2,943.61, 4,057.90 and 2,056.66 is: 2,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.61 : 4,057.90 = 2,056.66 : x
  2. Step 2: Convert to fraction form
    2,943.61/4,057.90 = 2,056.66/x
  3. Step 3: Cross multiply
    2,943.61x = 4,057.90 × 2,056.66
  4. Step 4: Simplify right side
    2,943.61x = 8,345,720.61
  5. Step 5: Solve for x
    x = 8,345,720.61/2,943.61
  6. Step 6: Final answer
    x = 2,835.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.