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Finding the Fourth Proportional to 2,212.92, 3,051.86 and 1,746.36

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Solution

The fourth proportional to 2,212.92, 3,051.86 and 1,746.36 is: 2,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.92 : 3,051.86 = 1,746.36 : x
  2. Step 2: Convert to fraction form
    2,212.92/3,051.86 = 1,746.36/x
  3. Step 3: Cross multiply
    2,212.92x = 3,051.86 × 1,746.36
  4. Step 4: Simplify right side
    2,212.92x = 5,329,646.23
  5. Step 5: Solve for x
    x = 5,329,646.23/2,212.92
  6. Step 6: Final answer
    x = 2,408.42

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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.