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Finding the Fourth Proportional to 2,461.86, 3,394.41 and 2,012.07

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Solution

The fourth proportional to 2,461.86, 3,394.41 and 2,012.07 is: 2,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.86 : 3,394.41 = 2,012.07 : x
  2. Step 2: Convert to fraction form
    2,461.86/3,394.41 = 2,012.07/x
  3. Step 3: Cross multiply
    2,461.86x = 3,394.41 × 2,012.07
  4. Step 4: Simplify right side
    2,461.86x = 6,829,790.53
  5. Step 5: Solve for x
    x = 6,829,790.53/2,461.86
  6. Step 6: Final answer
    x = 2,774.24

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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.