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Finding the Fourth Proportional to 2,095.41, 2,891.76 and 1,256.25

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Solution

The fourth proportional to 2,095.41, 2,891.76 and 1,256.25 is: 1,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.41 : 2,891.76 = 1,256.25 : x
  2. Step 2: Convert to fraction form
    2,095.41/2,891.76 = 1,256.25/x
  3. Step 3: Cross multiply
    2,095.41x = 2,891.76 × 1,256.25
  4. Step 4: Simplify right side
    2,095.41x = 3,632,773.50
  5. Step 5: Solve for x
    x = 3,632,773.50/2,095.41
  6. Step 6: Final answer
    x = 1,733.68

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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.