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Finding the Fourth Proportional to 1,586.26, 2,189.49 and 1,114.26

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Solution

The fourth proportional to 1,586.26, 2,189.49 and 1,114.26 is: 1,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.26 : 2,189.49 = 1,114.26 : x
  2. Step 2: Convert to fraction form
    1,586.26/2,189.49 = 1,114.26/x
  3. Step 3: Cross multiply
    1,586.26x = 2,189.49 × 1,114.26
  4. Step 4: Simplify right side
    1,586.26x = 2,439,670.35
  5. Step 5: Solve for x
    x = 2,439,670.35/1,586.26
  6. Step 6: Final answer
    x = 1,538.00

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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.