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Finding the Fourth Proportional to 1,858.35, 2,561.85 and 1,149.72

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Solution

The fourth proportional to 1,858.35, 2,561.85 and 1,149.72 is: 1,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.35 : 2,561.85 = 1,149.72 : x
  2. Step 2: Convert to fraction form
    1,858.35/2,561.85 = 1,149.72/x
  3. Step 3: Cross multiply
    1,858.35x = 2,561.85 × 1,149.72
  4. Step 4: Simplify right side
    1,858.35x = 2,945,410.18
  5. Step 5: Solve for x
    x = 2,945,410.18/1,858.35
  6. Step 6: Final answer
    x = 1,584.96

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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.