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Finding the Fourth Proportional to 2,032.61, 3,053.01 and 1,212.49

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Solution

The fourth proportional to 2,032.61, 3,053.01 and 1,212.49 is: 1,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.61 : 3,053.01 = 1,212.49 : x
  2. Step 2: Convert to fraction form
    2,032.61/3,053.01 = 1,212.49/x
  3. Step 3: Cross multiply
    2,032.61x = 3,053.01 × 1,212.49
  4. Step 4: Simplify right side
    2,032.61x = 3,701,735.28
  5. Step 5: Solve for x
    x = 3,701,735.28/2,032.61
  6. Step 6: Final answer
    x = 1,821.17

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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.