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Finding the Fourth Proportional to 2,095.96, 2,891.84 and 1,256.30

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Solution

The fourth proportional to 2,095.96, 2,891.84 and 1,256.30 is: 1,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.96 : 2,891.84 = 1,256.30 : x
  2. Step 2: Convert to fraction form
    2,095.96/2,891.84 = 1,256.30/x
  3. Step 3: Cross multiply
    2,095.96x = 2,891.84 × 1,256.30
  4. Step 4: Simplify right side
    2,095.96x = 3,633,018.59
  5. Step 5: Solve for x
    x = 3,633,018.59/2,095.96
  6. Step 6: Final answer
    x = 1,733.34

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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.