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Finding the Fourth Proportional to 2,044.77, 2,821.78 and 1,113.27

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Solution

The fourth proportional to 2,044.77, 2,821.78 and 1,113.27 is: 1,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.77 : 2,821.78 = 1,113.27 : x
  2. Step 2: Convert to fraction form
    2,044.77/2,821.78 = 1,113.27/x
  3. Step 3: Cross multiply
    2,044.77x = 2,821.78 × 1,113.27
  4. Step 4: Simplify right side
    2,044.77x = 3,141,403.02
  5. Step 5: Solve for x
    x = 3,141,403.02/2,044.77
  6. Step 6: Final answer
    x = 1,536.31

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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.