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Finding the Fourth Proportional to 2,859.36, 3,945.27 and 1,810.82

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Solution

The fourth proportional to 2,859.36, 3,945.27 and 1,810.82 is: 2,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.36 : 3,945.27 = 1,810.82 : x
  2. Step 2: Convert to fraction form
    2,859.36/3,945.27 = 1,810.82/x
  3. Step 3: Cross multiply
    2,859.36x = 3,945.27 × 1,810.82
  4. Step 4: Simplify right side
    2,859.36x = 7,144,173.82
  5. Step 5: Solve for x
    x = 7,144,173.82/2,859.36
  6. Step 6: Final answer
    x = 2,498.52

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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.