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Finding the Fourth Proportional to 1,858.83, 2,565.22 and 1,112.82

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Solution

The fourth proportional to 1,858.83, 2,565.22 and 1,112.82 is: 1,535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.83 : 2,565.22 = 1,112.82 : x
  2. Step 2: Convert to fraction form
    1,858.83/2,565.22 = 1,112.82/x
  3. Step 3: Cross multiply
    1,858.83x = 2,565.22 × 1,112.82
  4. Step 4: Simplify right side
    1,858.83x = 2,854,628.12
  5. Step 5: Solve for x
    x = 2,854,628.12/1,858.83
  6. Step 6: Final answer
    x = 1,535.71

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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.