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Finding the Fourth Proportional to 1,586.43, 2,189.24 and 887.80

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Solution

The fourth proportional to 1,586.43, 2,189.24 and 887.80 is: 1,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.43 : 2,189.24 = 887.80 : x
  2. Step 2: Convert to fraction form
    1,586.43/2,189.24 = 887.80/x
  3. Step 3: Cross multiply
    1,586.43x = 2,189.24 × 887.80
  4. Step 4: Simplify right side
    1,586.43x = 1,943,607.27
  5. Step 5: Solve for x
    x = 1,943,607.27/1,586.43
  6. Step 6: Final answer
    x = 1,225.15

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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.