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Finding the Fourth Proportional to 2,029.88, 2,801.16 and 1,133.66

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Solution

The fourth proportional to 2,029.88, 2,801.16 and 1,133.66 is: 1,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.88 : 2,801.16 = 1,133.66 : x
  2. Step 2: Convert to fraction form
    2,029.88/2,801.16 = 1,133.66/x
  3. Step 3: Cross multiply
    2,029.88x = 2,801.16 × 1,133.66
  4. Step 4: Simplify right side
    2,029.88x = 3,175,570.05
  5. Step 5: Solve for x
    x = 3,175,570.05/2,029.88
  6. Step 6: Final answer
    x = 1,564.42

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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.