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Finding the Fourth Proportional to 2,111.74, 2,914.37 and 1,215.76

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Solution

The fourth proportional to 2,111.74, 2,914.37 and 1,215.76 is: 1,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.74 : 2,914.37 = 1,215.76 : x
  2. Step 2: Convert to fraction form
    2,111.74/2,914.37 = 1,215.76/x
  3. Step 3: Cross multiply
    2,111.74x = 2,914.37 × 1,215.76
  4. Step 4: Simplify right side
    2,111.74x = 3,543,174.47
  5. Step 5: Solve for x
    x = 3,543,174.47/2,111.74
  6. Step 6: Final answer
    x = 1,677.85

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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.