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Finding the Fourth Proportional to 2,858.77, 3,945.73 and 1,810.63

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Solution

The fourth proportional to 2,858.77, 3,945.73 and 1,810.63 is: 2,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.77 : 3,945.73 = 1,810.63 : x
  2. Step 2: Convert to fraction form
    2,858.77/3,945.73 = 1,810.63/x
  3. Step 3: Cross multiply
    2,858.77x = 3,945.73 × 1,810.63
  4. Step 4: Simplify right side
    2,858.77x = 7,144,237.38
  5. Step 5: Solve for x
    x = 7,144,237.38/2,858.77
  6. Step 6: Final answer
    x = 2,499.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.