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Finding the Fourth Proportional to 2,275.91, 3,415.28 and 2,056.80

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Solution

The fourth proportional to 2,275.91, 3,415.28 and 2,056.80 is: 3,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.91 : 3,415.28 = 2,056.80 : x
  2. Step 2: Convert to fraction form
    2,275.91/3,415.28 = 2,056.80/x
  3. Step 3: Cross multiply
    2,275.91x = 3,415.28 × 2,056.80
  4. Step 4: Simplify right side
    2,275.91x = 7,024,537.62
  5. Step 5: Solve for x
    x = 7,024,537.62/2,275.91
  6. Step 6: Final answer
    x = 3,086.48

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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.