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Finding the Fourth Proportional to 2,096.15, 2,892.26 and 1,256.63

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Solution

The fourth proportional to 2,096.15, 2,892.26 and 1,256.63 is: 1,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.15 : 2,892.26 = 1,256.63 : x
  2. Step 2: Convert to fraction form
    2,096.15/2,892.26 = 1,256.63/x
  3. Step 3: Cross multiply
    2,096.15x = 2,892.26 × 1,256.63
  4. Step 4: Simplify right side
    2,096.15x = 3,634,494.40
  5. Step 5: Solve for x
    x = 3,634,494.40/2,096.15
  6. Step 6: Final answer
    x = 1,733.89

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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.