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Finding the Fourth Proportional to 2,095.43, 2,891.93 and 1,256.40

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Solution

The fourth proportional to 2,095.43, 2,891.93 and 1,256.40 is: 1,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.43 : 2,891.93 = 1,256.40 : x
  2. Step 2: Convert to fraction form
    2,095.43/2,891.93 = 1,256.40/x
  3. Step 3: Cross multiply
    2,095.43x = 2,891.93 × 1,256.40
  4. Step 4: Simplify right side
    2,095.43x = 3,633,414.57
  5. Step 5: Solve for x
    x = 3,633,414.57/2,095.43
  6. Step 6: Final answer
    x = 1,733.98

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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.