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Finding the Fourth Proportional to 2,275.43, 3,415.77 and 1,288.44

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Solution

The fourth proportional to 2,275.43, 3,415.77 and 1,288.44 is: 1,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.43 : 3,415.77 = 1,288.44 : x
  2. Step 2: Convert to fraction form
    2,275.43/3,415.77 = 1,288.44/x
  3. Step 3: Cross multiply
    2,275.43x = 3,415.77 × 1,288.44
  4. Step 4: Simplify right side
    2,275.43x = 4,401,014.70
  5. Step 5: Solve for x
    x = 4,401,014.70/2,275.43
  6. Step 6: Final answer
    x = 1,934.15

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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.