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Finding the Fourth Proportional to 1,858.77, 2,566.22 and 1,161.09

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Solution

The fourth proportional to 1,858.77, 2,566.22 and 1,161.09 is: 1,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.77 : 2,566.22 = 1,161.09 : x
  2. Step 2: Convert to fraction form
    1,858.77/2,566.22 = 1,161.09/x
  3. Step 3: Cross multiply
    1,858.77x = 2,566.22 × 1,161.09
  4. Step 4: Simplify right side
    1,858.77x = 2,979,606.57
  5. Step 5: Solve for x
    x = 2,979,606.57/1,858.77
  6. Step 6: Final answer
    x = 1,603.00

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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.