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Finding the Fourth Proportional to 2,212.74, 3,314.64 and 1,115.58

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Solution

The fourth proportional to 2,212.74, 3,314.64 and 1,115.58 is: 1,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.74 : 3,314.64 = 1,115.58 : x
  2. Step 2: Convert to fraction form
    2,212.74/3,314.64 = 1,115.58/x
  3. Step 3: Cross multiply
    2,212.74x = 3,314.64 × 1,115.58
  4. Step 4: Simplify right side
    2,212.74x = 3,697,746.09
  5. Step 5: Solve for x
    x = 3,697,746.09/2,212.74
  6. Step 6: Final answer
    x = 1,671.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.