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Finding the Fourth Proportional to 1,858.81, 2,566.89 and 1,196.81

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Solution

The fourth proportional to 1,858.81, 2,566.89 and 1,196.81 is: 1,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.81 : 2,566.89 = 1,196.81 : x
  2. Step 2: Convert to fraction form
    1,858.81/2,566.89 = 1,196.81/x
  3. Step 3: Cross multiply
    1,858.81x = 2,566.89 × 1,196.81
  4. Step 4: Simplify right side
    1,858.81x = 3,072,079.62
  5. Step 5: Solve for x
    x = 3,072,079.62/1,858.81
  6. Step 6: Final answer
    x = 1,652.71

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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.