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Finding the Fourth Proportional to 1,586.30, 2,189.09 and 887.67

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Solution

The fourth proportional to 1,586.30, 2,189.09 and 887.67 is: 1,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.30 : 2,189.09 = 887.67 : x
  2. Step 2: Convert to fraction form
    1,586.30/2,189.09 = 887.67/x
  3. Step 3: Cross multiply
    1,586.30x = 2,189.09 × 887.67
  4. Step 4: Simplify right side
    1,586.30x = 1,943,185.08
  5. Step 5: Solve for x
    x = 1,943,185.08/1,586.30
  6. Step 6: Final answer
    x = 1,224.98

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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.