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Finding the Fourth Proportional to 2,212.84, 3,053.64 and 1,427.32

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Solution

The fourth proportional to 2,212.84, 3,053.64 and 1,427.32 is: 1,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.84 : 3,053.64 = 1,427.32 : x
  2. Step 2: Convert to fraction form
    2,212.84/3,053.64 = 1,427.32/x
  3. Step 3: Cross multiply
    2,212.84x = 3,053.64 × 1,427.32
  4. Step 4: Simplify right side
    2,212.84x = 4,358,521.44
  5. Step 5: Solve for x
    x = 4,358,521.44/2,212.84
  6. Step 6: Final answer
    x = 1,969.65

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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.