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Finding the Fourth Proportional to 1,858.50, 2,564.67 and 1,112.43

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Solution

The fourth proportional to 1,858.50, 2,564.67 and 1,112.43 is: 1,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.50 : 2,564.67 = 1,112.43 : x
  2. Step 2: Convert to fraction form
    1,858.50/2,564.67 = 1,112.43/x
  3. Step 3: Cross multiply
    1,858.50x = 2,564.67 × 1,112.43
  4. Step 4: Simplify right side
    1,858.50x = 2,853,015.85
  5. Step 5: Solve for x
    x = 2,853,015.85/1,858.50
  6. Step 6: Final answer
    x = 1,535.12

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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.